100681392 has 80 divisors (see below), whose sum is σ = 301091840. Its totient is φ = 28394496.

The previous prime is 100681391. The next prime is 100681421. The reversal of 100681392 is 293186001.

It is not an unprimeable number, because it can be changed into a prime (100681391) 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, 24648 + ... + 28440.

It is an arithmetic number, because the mean of its divisors is an integer number (3763648).

Almost surely, 2^100681392 is an apocalyptic number.

100681392 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 100681392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150545920).

100681392 is an abundant number, since it is smaller than the sum of its proper divisors (200410448).

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

100681392 is a wasteful number, since it uses less digits than its factorization.

100681392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 100681392 is about 10034.0117600091. The cubic root of 100681392 is about 465.2107450323.

The spelling of 100681392 in words is "one hundred million, six hundred eighty-one thousand, three hundred ninety-two".