106952625 has 96 divisors (see below), whose sum is σ = 212599296. Its totient is φ = 51408000.

The previous prime is 106952623. The next prime is 106952633. The reversal of 106952625 is 526259601.

106952625 is a `hidden beast` number, since 106 + 9 + 526 + 25 = 666.

106952625 is a nontrivial binomial coefficient, being equal to C(14626, 2).

It is not a de Polignac number, because 106952625 - 2¹ = 106952623 is a prime.

It is a super-2 number, since 2×106952625² = 22877727988781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106952625.

It is not an unprimeable number, because it can be changed into a prime (106952623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1038324 + ... + 1038426.

It is an arithmetic number, because the mean of its divisors is an integer number (2214576).

Almost surely, 2^106952625 is an apocalyptic number.

106952625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106952625 is the 14625-th triangular number and also the 7313-rd hexagonal number.

It is an amenable number.

106952625 is a deficient number, since it is larger than the sum of its proper divisors (105646671).

106952625 is a wasteful number, since it uses less digits than its factorization.

106952625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106952625 is about 10341.7902222004. The cubic root of 106952625 is about 474.6758638116.

The spelling of 106952625 in words is "one hundred six million, nine hundred fifty-two thousand, six hundred twenty-five".