102956401416960 has 5184 divisors, whose sum is σ = 491726245570560. Its totient is φ = 20123143372800.

The previous prime is 102956401416917. The next prime is 102956401416971. The reversal of 102956401416960 is 69614104659201.

102956401416960 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 564 + 0 + 1 + 4 + 16 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a junction number, because it is equal to n+sod(n) for n = 102956401416897 and 102956401416906.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 681830472885 + ... + 681830473035.

It is an arithmetic number, because the mean of its divisors is an integer number (94854599840).

Almost surely, 2^{102956401416960} is an apocalyptic number.

102956401416960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102956401416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245863122785280).

102956401416960 is an abundant number, since it is smaller than the sum of its proper divisors (388769844153600).

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

102956401416960 is a wasteful number, since it uses less digits than its factorization.

102956401416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 102956401416960 in words is "one hundred two trillion, nine hundred fifty-six billion, four hundred one million, four hundred sixteen thousand, nine hundred sixty".