100861992 has 288 divisors, whose sum is σ = 364927680. Its totient is φ = 24837120.

The previous prime is 100861979. The next prime is 100861997. The reversal of 100861992 is 299168001.

It is a Harshad number since it is a multiple of its sum of digits (36).

100861992 is a modest number, since divided by 61992 gives 1008 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100861997) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 892528 + ... + 892640.

It is an arithmetic number, because the mean of its divisors is an integer number (1267110).

Almost surely, 2^100861992 is an apocalyptic number.

100861992 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 100861992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182463840).

100861992 is an abundant number, since it is smaller than the sum of its proper divisors (264065688).

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

100861992 is a wasteful number, since it uses less digits than its factorization.

100861992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 100861992 is about 10043.0071193841. The cubic root of 100861992 is about 465.4887403763.

The spelling of 100861992 in words is "one hundred million, eight hundred sixty-one thousand, nine hundred ninety-two".