104527987200 has 1440 divisors, whose sum is σ = 470976105600. Its totient is φ = 21680455680.

The previous prime is 104527987177. The next prime is 104527987211. The reversal of 104527987200 is 2789725401.

It is a happy number.

104527987200 is a `hidden beast` number, since 10 + 4 + 527 + 98 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×104527987200² (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 143 ways as a sum of consecutive naturals, for example, 1771660771 + ... + 1771660829.

It is an arithmetic number, because the mean of its divisors is an integer number (327066740).

Almost surely, 2^104527987200 is an apocalyptic number.

104527987200 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 104527987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235488052800).

104527987200 is an abundant number, since it is smaller than the sum of its proper divisors (366448118400).

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

104527987200 is an equidigital number, since it uses as much as digits as its factorization.

104527987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

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

The spelling of 104527987200 in words is "one hundred four billion, five hundred twenty-seven million, nine hundred eighty-seven thousand, two hundred".