105353088 has 32 divisors (see below), whose sum is σ = 279845160. Its totient is φ = 35117568.

The previous prime is 105353033. The next prime is 105353099. The reversal of 105353088 is 880353501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105353088² = 22198546302271488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136795 + ... + 137562.

Almost surely, 2^105353088 is an apocalyptic number.

It is an amenable number.

105353088 is an abundant number, since it is smaller than the sum of its proper divisors (174492072).

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

105353088 is an equidigital number, since it uses as much as digits as its factorization.

105353088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274374 (or 274362 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 105353088 is about 10264.1652363940. The cubic root of 105353088 is about 472.2976194403.

The spelling of 105353088 in words is "one hundred five million, three hundred fifty-three thousand, eighty-eight".