102056167987200 has 3456 divisors, whose sum is σ = 452728783503360. Its totient is φ = 22294550937600.

The previous prime is 102056167987159. The next prime is 102056167987211. The reversal of 102056167987200 is 2789761650201.

102056167987200 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 561 + 6 + 7 + 9 + 8 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×102056167987200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 278082201417 + ... + 278082201783.

Almost surely, 2^{102056167987200} is an apocalyptic number.

102056167987200 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 102056167987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226364391751680).

102056167987200 is an abundant number, since it is smaller than the sum of its proper divisors (350672615516160).

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

102056167987200 is a wasteful number, since it uses less digits than its factorization.

102056167987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 102056167987200 in words is "one hundred two trillion, fifty-six billion, one hundred sixty-seven million, nine hundred eighty-seven thousand, two hundred".