106151625 has 48 divisors (see below), whose sum is σ = 192895248. Its totient is φ = 56160000.

The previous prime is 106151599. The next prime is 106151627. The reversal of 106151625 is 526151601.

It is a happy number.

106151625 is a `hidden beast` number, since 10 + 615 + 16 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26656569 + 79495056 = 5163^2 + 8916^2 .

It is not a de Polignac number, because 106151625 - 2¹⁷ = 106020553 is a prime.

It is a super-2 number, since 2×106151625² = 22536334980281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106151627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176325 + ... + 176925.

It is an arithmetic number, because the mean of its divisors is an integer number (4018651).

Almost surely, 2^106151625 is an apocalyptic number.

106151625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106151625 is a deficient number, since it is larger than the sum of its proper divisors (86743623).

106151625 is a wasteful number, since it uses less digits than its factorization.

106151625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106151625 is about 10302.9910705581. The cubic root of 106151625 is about 473.4878969649.

The spelling of 106151625 in words is "one hundred six million, one hundred fifty-one thousand, six hundred twenty-five".