106958625 has 32 divisors (see below), whose sum is σ = 185732352. Its totient is φ = 54560000.

The previous prime is 106958623. The next prime is 106958629. The reversal of 106958625 is 526859601.

It is not a de Polignac number, because 106958625 - 2¹ = 106958623 is a prime.

It is a super-2 number, since 2×106958625² = 22880294923781250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106958623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2425 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (5804136).

Almost surely, 2^106958625 is an apocalyptic number.

106958625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106958625 is a deficient number, since it is larger than the sum of its proper divisors (78773727).

106958625 is a wasteful number, since it uses less digits than its factorization.

106958625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 106958625 is about 10342.0803033046. The cubic root of 106958625 is about 474.6847400217.

The spelling of 106958625 in words is "one hundred six million, nine hundred fifty-eight thousand, six hundred twenty-five".