101364625 has 16 divisors (see below), whose sum is σ = 133947216. Its totient is φ = 76320000.

The previous prime is 101364619. The next prime is 101364643. The reversal of 101364625 is 526463101.

It is a Cunningham number, because it is equal to 10068²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 22439169 + 78925456 = 4737^2 + 8884^2 .

It is not a de Polignac number, because 101364625 - 2³ = 101364617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101364593 and 101364602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21726 + ... + 25975.

It is an arithmetic number, because the mean of its divisors is an integer number (8371701).

Almost surely, 2^101364625 is an apocalyptic number.

It is an amenable number.

101364625 is a deficient number, since it is larger than the sum of its proper divisors (32582591).

101364625 is an equidigital number, since it uses as much as digits as its factorization.

101364625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47733 (or 47723 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 101364625 is about 10068.0000496623. Note that the first 4 decimals coincide. The cubic root of 101364625 is about 466.2606942660.

The spelling of 101364625 in words is "one hundred one million, three hundred sixty-four thousand, six hundred twenty-five".