101007925 has 6 divisors (see below), whose sum is σ = 125249858. Its totient is φ = 80806320.

The previous prime is 101007923. The next prime is 101007947. The reversal of 101007925 is 529700101.

It can be written as a sum of positive squares in 3 ways, for example, as 19412836 + 81595089 = 4406^2 + 9033^2 .

It is not a de Polignac number, because 101007925 - 2¹ = 101007923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 4040317 = 101007925 / (1 + 0 + 1 + 0 + 0 + 7 + 9 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101007925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101007923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2020134 + ... + 2020183.

Almost surely, 2^101007925 is an apocalyptic number.

It is an amenable number.

101007925 is a deficient number, since it is larger than the sum of its proper divisors (24241933).

101007925 is an equidigital number, since it uses as much as digits as its factorization.

101007925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040327 (or 4040322 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 101007925 is about 10050.2698968734. The cubic root of 101007925 is about 465.7131309240.

The spelling of 101007925 in words is "one hundred one million, seven thousand, nine hundred twenty-five".