105109088 has 24 divisors (see below), whose sum is σ = 236495952. Its totient is φ = 45046656.

The previous prime is 105109087. The next prime is 105109099. The reversal of 105109088 is 880901501.

It is a happy number.

It is a super-2 number, since 2×105109088² = 22095840760383488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105109087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234395 + ... + 234842.

It is an arithmetic number, because the mean of its divisors is an integer number (9853998).

Almost surely, 2^105109088 is an apocalyptic number.

It is an amenable number.

105109088 is an abundant number, since it is smaller than the sum of its proper divisors (131386864).

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

105109088 is an equidigital number, since it uses as much as digits as its factorization.

105109088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469254 (or 469246 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 32.

The square root of 105109088 is about 10252.2723334878. The cubic root of 105109088 is about 471.9327204688.

The spelling of 105109088 in words is "one hundred five million, one hundred nine thousand, eighty-eight".