105768970 has 16 divisors (see below), whose sum is σ = 192993480. Its totient is φ = 41727744.

The previous prime is 105768961. The next prime is 105768989. The reversal of 105768970 is 79867501.

It can be written as a sum of positive squares in 4 ways, for example, as 95004009 + 10764961 = 9747^2 + 3281^2 .

It is a super-2 number, since 2×105768970² = 22374150029721800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71715 + ... + 73174.

Almost surely, 2^105768970 is an apocalyptic number.

105768970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105768970 is a deficient number, since it is larger than the sum of its proper divisors (87224510).

105768970 is a wasteful number, since it uses less digits than its factorization.

105768970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144969.

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 105768970 is about 10284.4042122040. The cubic root of 105768970 is about 472.9182694566.

The spelling of 105768970 in words is "one hundred five million, seven hundred sixty-eight thousand, nine hundred seventy".