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106044100552 = 231316343314447
BaseRepresentation
bin110001011000010111…
…0001000111111001000
3101010201101200110111201
41202300232020333020
53214134242204202
6120414353033544
710442604660625
oct1426056107710
9333641613451
10106044100552
1140a78148325
1218675b558b4
139ccca795c0
1451bda6d34c
152b59b84387
hex18b0b88fc8

106044100552 has 64 divisors (see below), whose sum is σ = 215953678080. Its totient is φ = 48527465472.

The previous prime is 106044100549. The next prime is 106044100553. The reversal of 106044100552 is 255001440601.

It is a super-2 number, since 2×1060441005522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106044100552.

It is not an unprimeable number, because it can be changed into a prime (106044100553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7332993 + ... + 7347439.

It is an arithmetic number, because the mean of its divisors is an integer number (3374276220).

Almost surely, 2106044100552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106044100552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107976839040).

106044100552 is an abundant number, since it is smaller than the sum of its proper divisors (109909577528).

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

106044100552 is a wasteful number, since it uses less digits than its factorization.

106044100552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15062 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 106044100552 in words is "one hundred six billion, forty-four million, one hundred thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 163 326 433 652 866 1304 1732 2119 3464 4238 5629 8476 11258 14447 16952 22516 28894 45032 57788 70579 115576 141158 187811 282316 375622 564632 751244 917527 1502488 1835054 2354861 3670108 4709722 6255551 7340216 9419444 12511102 18838888 25022204 30613193 50044408 61226386 81322163 122452772 162644326 244905544 325288652 650577304 1019654813 2039309626 4078619252 8157238504 13255512569 26511025138 53022050276 106044100552