105996125 has 8 divisors (see below), whose sum is σ = 132283320. Its totient is φ = 84796800.

The previous prime is 105996119. The next prime is 105996151. The reversal of 105996125 is 521699501.

It can be written as a sum of positive squares in 4 ways, for example, as 256036 + 105740089 = 506^2 + 10283^2 .

It is not a de Polignac number, because 105996125 - 2⁴ = 105996109 is a prime.

It is a super-2 number, since 2×105996125² = 22470357030031250, which contains 22 as substring.

It is a congruent number.

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, 423860 + ... + 424109.

It is an arithmetic number, because the mean of its divisors is an integer number (16535415).

Almost surely, 2^105996125 is an apocalyptic number.

It is an amenable number.

105996125 is a deficient number, since it is larger than the sum of its proper divisors (26287195).

105996125 is an frugal number, since it uses more digits than its factorization.

105996125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847984 (or 847974 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 38.

The square root of 105996125 is about 10295.4419526313. The cubic root of 105996125 is about 473.2565820913.

The spelling of 105996125 in words is "one hundred five million, nine hundred ninety-six thousand, one hundred twenty-five".