100544625 has 64 divisors (see below), whose sum is σ = 192092160. Its totient is φ = 51894000.

The previous prime is 100544611. The next prime is 100544683. The reversal of 100544625 is 526445001.

The cubic root of 100544625 is 465.

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

It is not a de Polignac number, because 100544625 - 2⁵ = 100544593 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3243360 + ... + 3243390.

It is an arithmetic number, because the mean of its divisors is an integer number (3001440).

Almost surely, 2^100544625 is an apocalyptic number.

100544625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100544625 is a deficient number, since it is larger than the sum of its proper divisors (91547535).

100544625 is an frugal number, since it uses more digits than its factorization.

100544625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 100544625 is about 10027.1942735742.

Multiplying 100544625 by its sum of digits (27), we get a cube (2714704875 = 1395³).

100544625 divided by its sum of digits (27) gives a cube (3723875 = 155³).

Adding to 100544625 its reverse (526445001), we get a palindrome (626989626).

The spelling of 100544625 in words is "one hundred million, five hundred forty-four thousand, six hundred twenty-five".