100481625 has 24 divisors (see below), whose sum is σ = 181136904. Its totient is φ = 53589600.

The previous prime is 100481609. The next prime is 100481627. The reversal of 100481625 is 526184001.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 94070601 = 2532^2 + 9699^2 .

It is not a de Polignac number, because 100481625 - 2⁴ = 100481609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100481627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43534 + ... + 45783.

It is an arithmetic number, because the mean of its divisors is an integer number (7547371).

Almost surely, 2^100481625 is an apocalyptic number.

100481625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100481625 is a deficient number, since it is larger than the sum of its proper divisors (80655279).

100481625 is an equidigital number, since it uses as much as digits as its factorization.

100481625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89338 (or 89325 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100481625 is about 10024.0523242848. The cubic root of 100481625 is about 464.9028586535.

The spelling of 100481625 in words is "one hundred million, four hundred eighty-one thousand, six hundred twenty-five".