104987750400 has 1248 divisors, whose sum is σ = 436825374720. Its totient is φ = 24524881920.

The previous prime is 104987750393. The next prime is 104987750419. The reversal of 104987750400 is 4057789401.

It is a happy number.

104987750400 is a `hidden beast` number, since 1 + 0 + 498 + 77 + 50 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×104987750400² (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 a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 826675137 + ... + 826675263.

Almost surely, 2^104987750400 is an apocalyptic number.

104987750400 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 104987750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218412687360).

104987750400 is an abundant number, since it is smaller than the sum of its proper divisors (331837624320).

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

104987750400 is a wasteful number, since it uses less digits than its factorization.

104987750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 104987750400 in words is "one hundred four billion, nine hundred eighty-seven million, seven hundred fifty thousand, four hundred".