105917970 has 32 divisors (see below), whose sum is σ = 267583680. Its totient is φ = 26758080.

The previous prime is 105917957. The next prime is 105917983. The reversal of 105917970 is 79719501.

It is an interprime number because it is at equal distance from previous prime (105917957) and next prime (105917983).

It is a super-2 number, since 2×105917970² = 22437232737841800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92341 + ... + 93480.

It is an arithmetic number, because the mean of its divisors is an integer number (8361990).

Almost surely, 2^105917970 is an apocalyptic number.

105917970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105917970 is an abundant number, since it is smaller than the sum of its proper divisors (161665710).

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

105917970 is a wasteful number, since it uses less digits than its factorization.

105917970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185850.

The product of its (nonzero) digits is 19845, while the sum is 39.

The square root of 105917970 is about 10291.6456410042. The cubic root of 105917970 is about 473.1402367607.

The spelling of 105917970 in words is "one hundred five million, nine hundred seventeen thousand, nine hundred seventy".