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106078462605 = 32517843116447
BaseRepresentation
bin110001011001011000…
…1001110001010001101
3101010210210100020101100
41202302301032022031
53214222041300410
6120422021333313
710443503024553
oct1426261161215
9333723306340
10106078462605
1140a95588015
1218685567239
13a006c1ab8b
1451c4455bd3
152b5cbc08c0
hex18b2c4e28d

106078462605 has 48 divisors (see below), whose sum is σ = 194720108544. Its totient is φ = 53237675520.

The previous prime is 106078462603. The next prime is 106078462643. The reversal of 106078462605 is 506264870601.

106078462605 is a `hidden beast` number, since 1 + 0 + 60 + 78 + 462 + 60 + 5 = 666.

It is not a de Polignac number, because 106078462605 - 21 = 106078462603 is a prime.

It is a super-2 number, since 2×1060784626052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106078462603) 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 47 ways as a sum of consecutive naturals, for example, 6441492 + ... + 6457938.

It is an arithmetic number, because the mean of its divisors is an integer number (4056668928).

Almost surely, 2106078462605 is an apocalyptic number.

106078462605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106078462605 is a deficient number, since it is larger than the sum of its proper divisors (88641645939).

106078462605 is a wasteful number, since it uses less digits than its factorization.

106078462605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24906 (or 24903 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106078462605 in words is "one hundred six billion, seventy-eight million, four hundred sixty-two thousand, six hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 8431 16447 25293 42155 49341 75879 82235 126465 143327 148023 246705 279599 379395 429981 716635 740115 838797 1289943 1397995 2149905 2516391 4193985 6449715 12581955 138664657 415993971 693323285 1247981913 2079969855 2357299169 6239909565 7071897507 11786495845 21215692521 35359487535 106078462605