104931648 has 84 divisors (see below), whose sum is σ = 305368960. Its totient is φ = 34442496.

The previous prime is 104931643. The next prime is 104931649. The reversal of 104931648 is 846139401.

104931648 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 3 + 1 + 648 = 666.

It is a super-2 number, since 2×104931648² = 22021301503991808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104931643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37233 + ... + 39951.

Almost surely, 2^104931648 is an apocalyptic number.

104931648 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 104931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152684480).

104931648 is an abundant number, since it is smaller than the sum of its proper divisors (200437312).

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

104931648 is a wasteful number, since it uses less digits than its factorization.

104931648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 104931648 is about 10243.6149869077. The cubic root of 104931648 is about 471.6670063441.

The spelling of 104931648 in words is "one hundred four million, nine hundred thirty-one thousand, six hundred forty-eight".