100472148 has 54 divisors (see below), whose sum is σ = 295441146. Its totient is φ = 28705824.

The previous prime is 100472143. The next prime is 100472149. The reversal of 100472148 is 841274001.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 34082244 = 8148^2 + 5838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100472143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26715 + ... + 30242.

Almost surely, 2^100472148 is an apocalyptic number.

100472148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100472148 is an abundant number, since it is smaller than the sum of its proper divisors (194968998).

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

100472148 is a wasteful number, since it uses less digits than its factorization.

100472148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56981 (or 56969 counting only the distinct ones).

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

The square root of 100472148 is about 10023.5796001229. The cubic root of 100472148 is about 464.8882423065. Note that the first 3 decimals are identical.

The spelling of 100472148 in words is "one hundred million, four hundred seventy-two thousand, one hundred forty-eight".