101431725 has 48 divisors (see below), whose sum is σ = 176750592. Its totient is φ = 51226560.

The previous prime is 101431703. The next prime is 101431751. The reversal of 101431725 is 527134101.

It is not a de Polignac number, because 101431725 - 2⁶ = 101431661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101431695 and 101431704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218844 + ... + 219306.

It is an arithmetic number, because the mean of its divisors is an integer number (3682304).

Almost surely, 2^101431725 is an apocalyptic number.

101431725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101431725 is a deficient number, since it is larger than the sum of its proper divisors (75318867).

101431725 is a wasteful number, since it uses less digits than its factorization.

101431725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 101431725 is about 10071.3318384412. The cubic root of 101431725 is about 466.3635545807.

Adding to 101431725 its reverse (527134101), we get a palindrome (628565826).

The spelling of 101431725 in words is "one hundred one million, four hundred thirty-one thousand, seven hundred twenty-five".