106133625 has 128 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 50112000.

The previous prime is 106133611. The next prime is 106133647. The reversal of 106133625 is 526331601.

106133625 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 33 + 625 = 666.

It is not a de Polignac number, because 106133625 - 2⁸ = 106133369 is a prime.

It is a super-2 number, since 2×106133625² = 22528692711281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1798846 + ... + 1798904.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^106133625 is an apocalyptic number.

106133625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106133625 is an abundant number, since it is smaller than the sum of its proper divisors (114013575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106133625 is a wasteful number, since it uses less digits than its factorization.

106133625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106133625 is about 10302.1175007859. The cubic root of 106133625 is about 473.4611325327.

The spelling of 106133625 in words is "one hundred six million, one hundred thirty-three thousand, six hundred twenty-five".