100111872 has 80 divisors (see below), whose sum is σ = 304837632. Its totient is φ = 28600320.

The previous prime is 100111853. The next prime is 100111877. The reversal of 100111872 is 278111001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6097 + ... + 15407.

Almost surely, 2^100111872 is an apocalyptic number.

100111872 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 100111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152418816).

100111872 is an abundant number, since it is smaller than the sum of its proper divisors (204725760).

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

100111872 is an frugal number, since it uses more digits than its factorization.

100111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 100111872 is about 10005.5920364564. The cubic root of 100111872 is about 464.3319067977.

Adding to 100111872 its reverse (278111001), we get a palindrome (378222873).

The spelling of 100111872 in words is "one hundred million, one hundred eleven thousand, eight hundred seventy-two".