101381525 has 24 divisors (see below), whose sum is σ = 144574080. Its totient is φ = 69082560.

The previous prime is 101381521. The next prime is 101381611. The reversal of 101381525 is 525183101.

It is a happy number.

It is not a de Polignac number, because 101381525 - 2² = 101381521 is a prime.

It is a super-2 number, since 2×101381525² = 20556427222651250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101381494 and 101381503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101381521) 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, 27491 + ... + 30959.

It is an arithmetic number, because the mean of its divisors is an integer number (6023920).

Almost surely, 2^101381525 is an apocalyptic number.

It is an amenable number.

101381525 is a deficient number, since it is larger than the sum of its proper divisors (43192555).

101381525 is a wasteful number, since it uses less digits than its factorization.

101381525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 101381525 is about 10068.8393074872. The cubic root of 101381525 is about 466.2866052379.

The spelling of 101381525 in words is "one hundred one million, three hundred eighty-one thousand, five hundred twenty-five".