104992103952 has 240 divisors, whose sum is σ = 315303331200. Its totient is φ = 32514877440.

The previous prime is 104992103939. The next prime is 104992103963. The reversal of 104992103952 is 259301299401.

104992103952 is a `hidden beast` number, since 1 + 0 + 49 + 9 + 210 + 395 + 2 = 666.

It is a super-2 number, since 2×104992103952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104992103898 and 104992103907.

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 47 ways as a sum of consecutive naturals, for example, 73266628 + ... + 73268060.

It is an arithmetic number, because the mean of its divisors is an integer number (1313763880).

Almost surely, 2^104992103952 is an apocalyptic number.

104992103952 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 104992103952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157651665600).

104992103952 is an abundant number, since it is smaller than the sum of its proper divisors (210311227248).

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

104992103952 is a wasteful number, since it uses less digits than its factorization.

104992103952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 104992103952 in words is "one hundred four billion, nine hundred ninety-two million, one hundred three thousand, nine hundred fifty-two".