100665760 has 48 divisors (see below), whose sum is σ = 256122216. Its totient is φ = 37168128.

The previous prime is 100665749. The next prime is 100665767. The reversal of 100665760 is 67566001.

It can be written as a sum of positive squares in 4 ways, for example, as 77510416 + 23155344 = 8804^2 + 4812^2 .

It is not an unprimeable number, because it can be changed into a prime (100665767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22119 + ... + 26278.

Almost surely, 2^100665760 is an apocalyptic number.

100665760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100665760 is an abundant number, since it is smaller than the sum of its proper divisors (155456456).

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

100665760 is a wasteful number, since it uses less digits than its factorization.

100665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48425 (or 48417 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 100665760 is about 10033.2327791196. The cubic root of 100665760 is about 465.1866672605.

It can be divided in two parts, 1006 and 65760, that added together give a palindrome (66766).

The spelling of 100665760 in words is "one hundred million, six hundred sixty-five thousand, seven hundred sixty".