105905388 has 48 divisors (see below), whose sum is σ = 254580480. Its totient is φ = 34246464.

The previous prime is 105905369. The next prime is 105905389. The reversal of 105905388 is 883509501.

It is a super-2 number, since 2×105905388² = 22431902414861088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105905389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85558 + ... + 86786.

It is an arithmetic number, because the mean of its divisors is an integer number (5303760).

Almost surely, 2^105905388 is an apocalyptic number.

It is an amenable number.

105905388 is an abundant number, since it is smaller than the sum of its proper divisors (148675092).

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

105905388 is a wasteful number, since it uses less digits than its factorization.

105905388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 105905388 is about 10291.0343503459. The cubic root of 105905388 is about 473.1215012361.

The spelling of 105905388 in words is "one hundred five million, nine hundred five thousand, three hundred eighty-eight".