104981856 has 96 divisors (see below), whose sum is σ = 325866240. Its totient is φ = 28955136.

The previous prime is 104981843. The next prime is 104981857. The reversal of 104981856 is 658189401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×104981856² = 22042380178409472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104981857) 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 15 ways as a sum of consecutive naturals, for example, 16795 + ... + 22181.

It is an arithmetic number, because the mean of its divisors is an integer number (3394440).

Almost surely, 2^104981856 is an apocalyptic number.

104981856 is a gapful number since it is divisible by the number (16) 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 104981856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162933120).

104981856 is an abundant number, since it is smaller than the sum of its proper divisors (220884384).

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

104981856 is a wasteful number, since it uses less digits than its factorization.

104981856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 104981856 is about 10246.0653911636. The cubic root of 104981856 is about 471.7422225490.

The spelling of 104981856 in words is "one hundred four million, nine hundred eighty-one thousand, eight hundred fifty-six".