105372707 has 16 divisors (see below), whose sum is σ = 119426400. Its totient is φ = 92125440.

The previous prime is 105372697. The next prime is 105372713. The reversal of 105372707 is 707273501.

It is not a de Polignac number, because 105372707 - 2⁴ = 105372691 is a prime.

It is a super-2 number, since 2×105372707² = 22206814761015698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105372797) 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, 34769 + ... + 37677.

It is an arithmetic number, because the mean of its divisors is an integer number (7464150).

Almost surely, 2^105372707 is an apocalyptic number.

105372707 is a deficient number, since it is larger than the sum of its proper divisors (14053693).

105372707 is a wasteful number, since it uses less digits than its factorization.

105372707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 105372707 is about 10265.1208955375. The cubic root of 105372707 is about 472.3269349293.

The spelling of 105372707 in words is "one hundred five million, three hundred seventy-two thousand, seven hundred seven".