101257425 has 24 divisors (see below), whose sum is σ = 186014880. Its totient is φ = 54003600.

The previous prime is 101257391. The next prime is 101257447. The reversal of 101257425 is 524752101.

It is not a de Polignac number, because 101257425 - 2⁶ = 101257361 is a prime.

It is a super-2 number, since 2×101257425² = 20506132235261250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74331 + ... + 75680.

It is an arithmetic number, because the mean of its divisors is an integer number (7750620).

Almost surely, 2^101257425 is an apocalyptic number.

101257425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101257425 is a deficient number, since it is larger than the sum of its proper divisors (84757455).

101257425 is a wasteful number, since it uses less digits than its factorization.

101257425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150030 (or 150019 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 101257425 is about 10062.6748432015. The cubic root of 101257425 is about 466.0962688004.

The spelling of 101257425 in words is "one hundred one million, two hundred fifty-seven thousand, four hundred twenty-five".