100309768 has 16 divisors (see below), whose sum is σ = 202548780. Its totient is φ = 46296768.

The previous prime is 100309747. The next prime is 100309789. The reversal of 100309768 is 867903001.

It is an interprime number because it is at equal distance from previous prime (100309747) and next prime (100309789).

It can be written as a sum of positive squares in 2 ways, for example, as 93663684 + 6646084 = 9678^2 + 2578^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 482155 + ... + 482362.

Almost surely, 2^100309768 is an apocalyptic number.

It is an amenable number.

100309768 is an abundant number, since it is smaller than the sum of its proper divisors (102239012).

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

100309768 is a wasteful number, since it uses less digits than its factorization.

100309768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964536 (or 964532 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 100309768 is about 10015.4764240150. The cubic root of 100309768 is about 464.6376612308.

The spelling of 100309768 in words is "one hundred million, three hundred nine thousand, seven hundred sixty-eight".