100032725 has 24 divisors (see below), whose sum is σ = 134257032. Its totient is φ = 73497600.

The previous prime is 100032659. The next prime is 100032763. The reversal of 100032725 is 527230001.

It can be written as a sum of positive squares in 12 ways, for example, as 35117476 + 64915249 = 5926^2 + 8057^2 .

It is not a de Polignac number, because 100032725 - 2⁸ = 100032469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100032697 and 100032706.

It is a congruent number.

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, 75065 + ... + 76385.

It is an arithmetic number, because the mean of its divisors is an integer number (5594043).

Almost surely, 2^100032725 is an apocalyptic number.

It is an amenable number.

100032725 is a deficient number, since it is larger than the sum of its proper divisors (34224307).

100032725 is a wasteful number, since it uses less digits than its factorization.

100032725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 100032725 is about 10001.6361161562. The cubic root of 100032725 is about 464.2095098374.

Adding to 100032725 its reverse (527230001), we get a palindrome (627262726).

The spelling of 100032725 in words is "one hundred million, thirty-two thousand, seven hundred twenty-five".