105859088 has 20 divisors (see below), whose sum is σ = 205262160. Its totient is φ = 52888224.

The previous prime is 105859081. The next prime is 105859097. The reversal of 105859088 is 880958501.

It is a super-2 number, since 2×105859088² = 22412293024383488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105859081) 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, 36143 + ... + 38961.

It is an arithmetic number, because the mean of its divisors is an integer number (10263108).

Almost surely, 2^105859088 is an apocalyptic number.

It is an amenable number.

105859088 is a deficient number, since it is larger than the sum of its proper divisors (99403072).

105859088 is a wasteful number, since it uses less digits than its factorization.

105859088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 44.

The square root of 105859088 is about 10288.7845735053. The cubic root of 105859088 is about 473.0525443462.

The spelling of 105859088 in words is "one hundred five million, eight hundred fifty-nine thousand, eighty-eight".