100231680 has 160 divisors (see below), whose sum is σ = 331550208. Its totient is φ = 25804800.

The previous prime is 100231679. The next prime is 100231687. The reversal of 100231680 is 86132001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100231687) 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, 237870 + ... + 238290.

Almost surely, 2^100231680 is an apocalyptic number.

100231680 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 100231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165775104).

100231680 is an abundant number, since it is smaller than the sum of its proper divisors (231318528).

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

100231680 is an equidigital number, since it uses as much as digits as its factorization.

100231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 100231680 is about 10011.5772983082. The cubic root of 100231680 is about 464.5170613283.

Adding to 100231680 its reverse (86132001), we get a palindrome (186363681).

The spelling of 100231680 in words is "one hundred million, two hundred thirty-one thousand, six hundred eighty".