100870272 has 224 divisors, whose sum is σ = 321079680. Its totient is φ = 31477248.

The previous prime is 100870267. The next prime is 100870283. The reversal of 100870272 is 272078001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2146153 + ... + 2146199.

Almost surely, 2^100870272 is an apocalyptic number.

100870272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160539840).

100870272 is an abundant number, since it is smaller than the sum of its proper divisors (220209408).

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

100870272 is an frugal number, since it uses more digits than its factorization.

100870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 100870272 is about 10043.4193380541. The cubic root of 100870272 is about 465.5014777191.

The spelling of 100870272 in words is "one hundred million, eight hundred seventy thousand, two hundred seventy-two".