105738625 has 8 divisors (see below), whose sum is σ = 131961960. Its totient is φ = 84590800.

The previous prime is 105738601. The next prime is 105738649. The reversal of 105738625 is 526837501.

It is an interprime number because it is at equal distance from previous prime (105738601) and next prime (105738649).

It can be written as a sum of positive squares in 4 ways, for example, as 15944049 + 89794576 = 3993^2 + 9476^2 .

It is not a de Polignac number, because 105738625 - 2⁵ = 105738593 is a prime.

It is a super-2 number, since 2×105738625² = 22361313633781250, 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, 422830 + ... + 423079.

It is an arithmetic number, because the mean of its divisors is an integer number (16495245).

Almost surely, 2^105738625 is an apocalyptic number.

It is an amenable number.

105738625 is a deficient number, since it is larger than the sum of its proper divisors (26223335).

105738625 is an frugal number, since it uses more digits than its factorization.

105738625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845924 (or 845914 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 105738625 is about 10282.9288143019. The cubic root of 105738625 is about 472.8730385554.

The spelling of 105738625 in words is "one hundred five million, seven hundred thirty-eight thousand, six hundred twenty-five".