101925 has 24 divisors (see below), whose sum is σ = 188480. Its totient is φ = 54000.

The previous prime is 101921. The next prime is 101929. The reversal of 101925 is 529101.

It is an interprime number because it is at equal distance from previous prime (101921) and next prime (101929).

It is not a de Polignac number, because 101925 - 2² = 101921 is a prime.

101925 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 101898 and 101907.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101925.

It is not an unprimeable number, because it can be changed into a prime (101921) 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, 600 + ... + 750.

2¹⁰¹⁹²⁵ is an apocalyptic number.

101925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101925 is a deficient number, since it is larger than the sum of its proper divisors (86555).

101925 is a wasteful number, since it uses less digits than its factorization.

101925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101925 is about 319.2569498069. The cubic root of 101925 is about 46.7118326895.

The spelling of 101925 in words is "one hundred one thousand, nine hundred twenty-five".