105008904 has 384 divisors, whose sum is σ = 402554880. Its totient is φ = 23846400.

The previous prime is 105008887. The next prime is 105008921. The reversal of 105008904 is 409800501.

It is an interprime number because it is at equal distance from previous prime (105008887) and next prime (105008921).

It is a super-2 number, since 2×105008904² = 22053739838562432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2234209 + ... + 2234255.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^105008904 is an apocalyptic number.

105008904 is a gapful number since it is divisible by the number (14) 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 105008904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

105008904 is an abundant number, since it is smaller than the sum of its proper divisors (297545976).

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

105008904 is a wasteful number, since it uses less digits than its factorization.

105008904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105008904 is about 10247.3852274617. The cubic root of 105008904 is about 471.7827330030.

The spelling of 105008904 in words is "one hundred five million, eight thousand, nine hundred four".