101138625 has 80 divisors (see below), whose sum is σ = 215639424. Its totient is φ = 46202400.

The previous prime is 101138617. The next prime is 101138629. The reversal of 101138625 is 526831101.

101138625 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 38 + 625 = 666.

It is not a de Polignac number, because 101138625 - 2³ = 101138617 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101138629) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70162 + ... + 71588.

Almost surely, 2^101138625 is an apocalyptic number.

101138625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101138625 is an abundant number, since it is smaller than the sum of its proper divisors (114500799).

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

101138625 is an equidigital number, since it uses as much as digits as its factorization.

101138625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101138625 is about 10056.7701077433. The cubic root of 101138625 is about 465.9139154044.

Adding to 101138625 its reverse (526831101), we get a palindrome (627969726).

The spelling of 101138625 in words is "one hundred one million, one hundred thirty-eight thousand, six hundred twenty-five".