104963904 has 224 divisors, whose sum is σ = 341376000. Its totient is φ = 31477248.

The previous prime is 104963893. The next prime is 104963909. The reversal of 104963904 is 409369401.

104963904 is a `hidden beast` number, since 10 + 4 + 9 + 639 + 0 + 4 = 666.

It is a super-2 number, since 2×104963904² = 22034842285842432, 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 (104963909) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 755067 + ... + 755205.

It is an arithmetic number, because the mean of its divisors is an integer number (1524000).

Almost surely, 2^104963904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

104963904 is an abundant number, since it is smaller than the sum of its proper divisors (236412096).

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

104963904 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (104963903) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (186).

104963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 104963904 is about 10245.1893101104. The cubic root of 104963904 is about 471.7153315557.

It can be divided in two parts, 10496 and 3904, that added together give a square (14400 = 120²).

The spelling of 104963904 in words is "one hundred four million, nine hundred sixty-three thousand, nine hundred four".