100509768 has 64 divisors (see below), whose sum is σ = 280756800. Its totient is φ = 33315840.

The previous prime is 100509733. The next prime is 100509803. The reversal of 100509768 is 867905001.

It is an interprime number because it is at equal distance from previous prime (100509733) and next prime (100509803).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40483 + ... + 42893.

It is an arithmetic number, because the mean of its divisors is an integer number (4386825).

Almost surely, 2^100509768 is an apocalyptic number.

100509768 is a gapful number since it is divisible by the number (18) 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 100509768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140378400).

100509768 is an abundant number, since it is smaller than the sum of its proper divisors (180247032).

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

100509768 is a wasteful number, since it uses less digits than its factorization.

100509768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 100509768 is about 10025.4559996042. The cubic root of 100509768 is about 464.9462580971.

The spelling of 100509768 in words is "one hundred million, five hundred nine thousand, seven hundred sixty-eight".