104963892 has 96 divisors (see below), whose sum is σ = 279465984. Its totient is φ = 30374400.

The previous prime is 104963879. The next prime is 104963893. The reversal of 104963892 is 298369401.

It is a super-2 number, since 2×104963892² = 22034837247575328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104963893) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 462283 + ... + 462509.

It is an arithmetic number, because the mean of its divisors is an integer number (2911104).

Almost surely, 2^104963892 is an apocalyptic number.

104963892 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 104963892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139732992).

104963892 is an abundant number, since it is smaller than the sum of its proper divisors (174502092).

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

104963892 is a wasteful number, since it uses less digits than its factorization.

104963892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 104963892 is about 10245.1887244696. The cubic root of 104963892 is about 471.7153135794.

The spelling of 104963892 in words is "one hundred four million, nine hundred sixty-three thousand, eight hundred ninety-two".