101561325 has 24 divisors (see below), whose sum is σ = 168212448. Its totient is φ = 54070080.

The previous prime is 101561321. The next prime is 101561359. The reversal of 101561325 is 523165101.

It is not a de Polignac number, because 101561325 - 2² = 101561321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101561295 and 101561304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101561321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67279 + ... + 68771.

It is an arithmetic number, because the mean of its divisors is an integer number (7008852).

Almost surely, 2^101561325 is an apocalyptic number.

101561325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101561325 is a deficient number, since it is larger than the sum of its proper divisors (66651123).

101561325 is a wasteful number, since it uses less digits than its factorization.

101561325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 101561325 is about 10077.7638888793. The cubic root of 101561325 is about 466.5620953334.

The spelling of 101561325 in words is "one hundred one million, five hundred sixty-one thousand, three hundred twenty-five".