104903624966400 has 1728 divisors, whose sum is σ = 428220400473600. Its totient is φ = 24961392967680.

The previous prime is 104903624966369. The next prime is 104903624966407. The reversal of 104903624966400 is 4669426309401.

104903624966400 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 3 + 624 + 9 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×104903624966400² (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 not an unprimeable number, because it can be changed into a prime (104903624966407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13049333581 + ... + 13049341619.

Almost surely, 2^{104903624966400} is an apocalyptic number.

104903624966400 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 104903624966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214110200236800).

104903624966400 is an abundant number, since it is smaller than the sum of its proper divisors (323316775507200).

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

104903624966400 is a wasteful number, since it uses less digits than its factorization.

104903624966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 104903624966400 in words is "one hundred four trillion, nine hundred three billion, six hundred twenty-four million, nine hundred sixty-six thousand, four hundred".