105970164 has 24 divisors (see below), whose sum is σ = 250044480. Its totient is φ = 34926144.

The previous prime is 105970153. The next prime is 105970169. The reversal of 105970164 is 461079501.

It is a super-2 number, since 2×105970164² = 22459351316373792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105970169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48544 + ... + 50679.

It is an arithmetic number, because the mean of its divisors is an integer number (10418520).

Almost surely, 2^105970164 is an apocalyptic number.

It is an amenable number.

105970164 is an abundant number, since it is smaller than the sum of its proper divisors (144074316).

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

105970164 is a wasteful number, since it uses less digits than its factorization.

105970164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99319 (or 99317 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105970164 is about 10294.1810747626. The cubic root of 105970164 is about 473.2179416306.

The spelling of 105970164 in words is "one hundred five million, nine hundred seventy thousand, one hundred sixty-four".