104978700288 has 1152 divisors, whose sum is σ = 423154368000. Its totient is φ = 24206376960.

The previous prime is 104978700287. The next prime is 104978700329. The reversal of 104978700288 is 882007879401.

It is a happy number.

104978700288 is a `hidden beast` number, since 1 + 0 + 497 + 8 + 70 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×104978700288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104978700287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458422158 + ... + 458422386.

It is an arithmetic number, because the mean of its divisors is an integer number (367321500).

Almost surely, 2^104978700288 is an apocalyptic number.

104978700288 is a gapful number since it is divisible by the number (18) 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 104978700288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211577184000).

104978700288 is an abundant number, since it is smaller than the sum of its proper divisors (318175667712).

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

104978700288 is a wasteful number, since it uses less digits than its factorization.

104978700288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 104978700288 in words is "one hundred four billion, nine hundred seventy-eight million, seven hundred thousand, two hundred eighty-eight".