100272231720 has 512 divisors, whose sum is σ = 365119488000. Its totient is φ = 24384291840.

The previous prime is 100272231677. The next prime is 100272231743. The reversal of 100272231720 is 27132272001.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180021682 + ... + 180022238.

It is an arithmetic number, because the mean of its divisors is an integer number (713124000).

Almost surely, 2^100272231720 is an apocalyptic number.

100272231720 is a gapful number since it is divisible by the number (10) 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 100272231720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182559744000).

100272231720 is an abundant number, since it is smaller than the sum of its proper divisors (264847256280).

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

100272231720 is a wasteful number, since it uses less digits than its factorization.

100272231720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 100272231720 in words is "one hundred billion, two hundred seventy-two million, two hundred thirty-one thousand, seven hundred twenty".