100509660 has 72 divisors (see below), whose sum is σ = 316186416. Its totient is φ = 26801280.

The previous prime is 100509653. The next prime is 100509691. The reversal of 100509660 is 66905001.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5481 + ... + 15200.

It is an arithmetic number, because the mean of its divisors is an integer number (4391478).

Almost surely, 2^100509660 is an apocalyptic number.

100509660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100509660 is an abundant number, since it is smaller than the sum of its proper divisors (215676756).

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

100509660 is a wasteful number, since it uses less digits than its factorization.

100509660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20705 (or 20691 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100509660 is about 10025.4506133141. The cubic root of 100509660 is about 464.9460915653.

The spelling of 100509660 in words is "one hundred million, five hundred nine thousand, six hundred sixty".