100091772 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 28080000.

The previous prime is 100091749. The next prime is 100091773. The reversal of 100091772 is 277190001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100091773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398647 + ... + 398897.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^100091772 is an apocalyptic number.

100091772 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 100091772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

100091772 is an abundant number, since it is smaller than the sum of its proper divisors (197106948).

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

100091772 is a wasteful number, since it uses less digits than its factorization.

100091772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 100091772 is about 10004.5875477203. The cubic root of 100091772 is about 464.3008292447.

It can be divided in two parts, 10009 and 1772, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 100091772 in words is "one hundred million, ninety-one thousand, seven hundred seventy-two".