101165325 has 12 divisors (see below), whose sum is σ = 167260128. Its totient is φ = 53954800.

The previous prime is 101165303. The next prime is 101165347. The reversal of 101165325 is 523561101.

It is an interprime number because it is at equal distance from previous prime (101165303) and next prime (101165347).

It is not a de Polignac number, because 101165325 - 2¹⁴ = 101148941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101165295 and 101165304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674361 + ... + 674510.

It is an arithmetic number, because the mean of its divisors is an integer number (13938344).

Almost surely, 2^101165325 is an apocalyptic number.

101165325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101165325 is a deficient number, since it is larger than the sum of its proper divisors (66094803).

101165325 is a wasteful number, since it uses less digits than its factorization.

101165325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348884 (or 1348879 counting only the distinct ones).

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

The square root of 101165325 is about 10058.0974841170. The cubic root of 101165325 is about 465.9549113049.

The spelling of 101165325 in words is "one hundred one million, one hundred sixty-five thousand, three hundred twenty-five".