100172448 has 36 divisors (see below), whose sum is σ = 284866218. Its totient is φ = 33390720.

The previous prime is 100172447. The next prime is 100172473. The reversal of 100172448 is 844271001.

It can be written as a sum of positive squares in only one way, i.e., 55175184 + 44997264 = 7428^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (100172441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173623 + ... + 174198.

Almost surely, 2^100172448 is an apocalyptic number.

100172448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100172448 is an abundant number, since it is smaller than the sum of its proper divisors (184693770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100172448 is a wasteful number, since it uses less digits than its factorization.

100172448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347837 (or 347826 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 100172448 is about 10008.6186859127. The cubic root of 100172448 is about 464.4255410417.

The spelling of 100172448 in words is "one hundred million, one hundred seventy-two thousand, four hundred forty-eight".