104998529664 has 960 divisors, whose sum is σ = 384951916800. Its totient is φ = 28287221760.

The previous prime is 104998529621. The next prime is 104998529677. The reversal of 104998529664 is 466925899401.

104998529664 is a `hidden beast` number, since 1 + 0 + 49 + 9 + 8 + 529 + 6 + 64 = 666.

It is a super-2 number, since 2×104998529664² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 929190472 + ... + 929190584.

It is an arithmetic number, because the mean of its divisors is an integer number (400991580).

Almost surely, 2^104998529664 is an apocalyptic number.

104998529664 is a gapful number since it is divisible by the number (14) 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 104998529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192475958400).

104998529664 is an abundant number, since it is smaller than the sum of its proper divisors (279953387136).

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

104998529664 is a wasteful number, since it uses less digits than its factorization.

104998529664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 104998529664 in words is "one hundred four billion, nine hundred ninety-eight million, five hundred twenty-nine thousand, six hundred sixty-four".