100272088 has 64 divisors (see below), whose sum is σ = 226344960. Its totient is φ = 40715136.

The previous prime is 100272079. The next prime is 100272089. The reversal of 100272088 is 880272001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100272089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163270 + ... + 163882.

It is an arithmetic number, because the mean of its divisors is an integer number (3536640).

Almost surely, 2^100272088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100272088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113172480).

100272088 is an abundant number, since it is smaller than the sum of its proper divisors (126072872).

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

100272088 is a wasteful number, since it uses less digits than its factorization.

100272088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 100272088 is about 10013.5951585832. The cubic root of 100272088 is about 464.5794756721.

The spelling of 100272088 in words is "one hundred million, two hundred seventy-two thousand, eighty-eight".