104962129920 has 204 divisors, whose sum is σ = 363876164496. Its totient is φ = 27989114880.

The previous prime is 104962129889. The next prime is 104962129973. The reversal of 104962129920 is 29921269401.

104962129920 is a `hidden beast` number, since 10 + 4 + 9 + 621 + 2 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×104962129920² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2931325 + ... + 2966915.

Almost surely, 2^104962129920 is an apocalyptic number.

104962129920 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 104962129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181938082248).

104962129920 is an abundant number, since it is smaller than the sum of its proper divisors (258914034576).

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

104962129920 is an frugal number, since it uses more digits than its factorization.

104962129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35634 (or 35601 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 104962129920 in words is "one hundred four billion, nine hundred sixty-two million, one hundred twenty-nine thousand, nine hundred twenty".