101857725 has 18 divisors (see below), whose sum is σ = 182438906. Its totient is φ = 54324000.

The previous prime is 101857711. The next prime is 101857753. The reversal of 101857725 is 527758101.

It can be written as a sum of positive squares in 3 ways, for example, as 14584761 + 87272964 = 3819^2 + 9342^2 .

It is not a de Polignac number, because 101857725 - 2⁴ = 101857709 is a prime.

It is a super-2 number, since 2×101857725² = 20749992284351250, which contains 22 as substring.

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 101857725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226126 + ... + 226575.

Almost surely, 2^101857725 is an apocalyptic number.

101857725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101857725 is a deficient number, since it is larger than the sum of its proper divisors (80581181).

101857725 is a wasteful number, since it uses less digits than its factorization.

101857725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452717 (or 452709 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 101857725 is about 10092.4588183455. The cubic root of 101857725 is about 467.0155313688.

The spelling of 101857725 in words is "one hundred one million, eight hundred fifty-seven thousand, seven hundred twenty-five".