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106454064654 = 23278918615101
BaseRepresentation
bin110001100100100101…
…0000001111000001110
3101011202222002210112100
41203021022001320032
53221004220032104
6120523200015530
710456013422350
oct1431112017016
9334688083470
10106454064654
11411685a9433
121876b3015a6
13a066999302
14521c2a90d0
152b80b65139
hex18c9281e0e

106454064654 has 96 divisors (see below), whose sum is σ = 266757865920. Its totient is φ = 30051648000.

The previous prime is 106454064637. The next prime is 106454064667. The reversal of 106454064654 is 456460454601.

106454064654 is a `hidden beast` number, since 1 + 0 + 64 + 540 + 6 + 46 + 5 + 4 = 666.

106454064654 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064540646542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20866704 + ... + 20871804.

It is an arithmetic number, because the mean of its divisors is an integer number (2778727770).

Almost surely, 2106454064654 is an apocalyptic number.

106454064654 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106454064654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133378932960).

106454064654 is an abundant number, since it is smaller than the sum of its proper divisors (160303801266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106454064654 is a wasteful number, since it uses less digits than its factorization.

106454064654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 106454064654 in words is "one hundred six billion, four hundred fifty-four million, sixty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1246 1602 1861 1869 3722 3738 5101 5583 5607 10202 11166 11214 13027 15303 16749 26054 30606 33498 35707 39081 45909 71414 78162 91818 107121 117243 165629 214242 234486 321363 331258 453989 496887 642726 907978 993774 1159403 1361967 1490661 2318806 2723934 2981322 3177923 3478209 4085901 6355846 6956418 8171802 9492961 9533769 10434627 18985922 19067538 20869254 28478883 28601307 56957766 57202614 66450727 85436649 132901454 170873298 199352181 398704362 598056543 844873529 1196113086 1689747058 2534620587 5069241174 5914114703 7603861761 11828229406 15207723522 17742344109 35484688218 53227032327 106454064654