100129248 has 36 divisors (see below), whose sum is σ = 284743368. Its totient is φ = 33376320.

The previous prime is 100129231. The next prime is 100129273. The reversal of 100129248 is 842921001.

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 173548 + ... + 174123.

It is an arithmetic number, because the mean of its divisors is an integer number (7909538).

Almost surely, 2^100129248 is an apocalyptic number.

100129248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100129248 is an abundant number, since it is smaller than the sum of its proper divisors (184614120).

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

100129248 is a wasteful number, since it uses less digits than its factorization.

100129248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347687 (or 347676 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100129248 is about 10006.4603132177. The cubic root of 100129248 is about 464.3587692943.

The spelling of 100129248 in words is "one hundred million, one hundred twenty-nine thousand, two hundred forty-eight".