101505625 has 45 divisors (see below), whose sum is σ = 141922539. Its totient is φ = 72540000.

The previous prime is 101505577. The next prime is 101505631. The reversal of 101505625 is 526505101.

The square root of 101505625 is 10075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 100260169 + 1245456 = 10013^2 + 1116^2 .

It is not a de Polignac number, because 101505625 - 2⁷ = 101505497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101505625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3274360 + ... + 3274390.

Almost surely, 2^101505625 is an apocalyptic number.

101505625 is the 10075-th square number.

101505625 is the 5038-th centered octagonal number.

It is an amenable number.

101505625 is a deficient number, since it is larger than the sum of its proper divisors (40416914).

101505625 is an frugal number, since it uses more digits than its factorization.

101505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The cubic root of 101505625 is about 466.4767864129.

Multiplying 101505625 by its sum of digits (25), we get a square (2537640625 = 50375²).

101505625 divided by its sum of digits (25) gives a square (4060225 = 2015²).

The spelling of 101505625 in words is "one hundred one million, five hundred five thousand, six hundred twenty-five".