104951808 has 208 divisors, whose sum is σ = 339435040. Its totient is φ = 31850496.

The previous prime is 104951807. The next prime is 104951813. The reversal of 104951808 is 808159401.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×104951808² = 22029764004937728, 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 (104951807) 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 15 ways as a sum of consecutive naturals, for example, 1437660 + ... + 1437732.

Almost surely, 2^104951808 is an apocalyptic number.

104951808 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 104951808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169717520).

104951808 is an abundant number, since it is smaller than the sum of its proper divisors (234483232).

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

104951808 is an equidigital number, since it uses as much as digits as its factorization.

104951808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 104951808 is about 10244.5989672607. The cubic root of 104951808 is about 471.6972107617.

The spelling of 104951808 in words is "one hundred four million, nine hundred fifty-one thousand, eight hundred eight".