107152533091656 has 256 divisors, whose sum is σ = 337571226720000. Its totient is φ = 31220042305536.

The previous prime is 107152533091649. The next prime is 107152533091661. The reversal of 107152533091656 is 656190335251701.

It is a happy number.

107152533091656 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 52 + 533 + 0 + 9 + 1 + 6 + 56 = 666.

It is a super-3 number, since 3×107152533091656³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113114730 + ... + 114058086.

It is an arithmetic number, because the mean of its divisors is an integer number (1318637604375).

Almost surely, 2^{107152533091656} 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 107152533091656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168785613360000).

107152533091656 is an abundant number, since it is smaller than the sum of its proper divisors (230418693628344).

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

107152533091656 is a wasteful number, since it uses less digits than its factorization.

107152533091656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945533 (or 945523 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 107152533091656 in words is "one hundred seven trillion, one hundred fifty-two billion, five hundred thirty-three million, ninety-one thousand, six hundred fifty-six".