104699532672 has 192 divisors, whose sum is σ = 346805222400. Its totient is φ = 29698624512.

The previous prime is 104699532659. The next prime is 104699532701. The reversal of 104699532672 is 276235996401.

104699532672 is a `hidden beast` number, since 1 + 0 + 46 + 9 + 9 + 532 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074193 + ... + 1167599.

It is an arithmetic number, because the mean of its divisors is an integer number (1806277200).

Almost surely, 2^104699532672 is an apocalyptic number.

104699532672 is a gapful number since it is divisible by the number (12) 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 104699532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173402611200).

104699532672 is an abundant number, since it is smaller than the sum of its proper divisors (242105689728).

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

104699532672 is a wasteful number, since it uses less digits than its factorization.

104699532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93573 (or 93558 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 104699532672 in words is "one hundred four billion, six hundred ninety-nine million, five hundred thirty-two thousand, six hundred seventy-two".