100115769 has 36 divisors (see below), whose sum is σ = 152832816. Its totient is φ = 58260384.

The previous prime is 100115753. The next prime is 100115783. The reversal of 100115769 is 967511001.

It is not a de Polignac number, because 100115769 - 2⁴ = 100115753 is a prime.

It is a super-2 number, since 2×100115769² = 20046334404922722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100115269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182754 + ... + 183300.

It is an arithmetic number, because the mean of its divisors is an integer number (4245356).

Almost surely, 2^100115769 is an apocalyptic number.

100115769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100115769 is a deficient number, since it is larger than the sum of its proper divisors (52717047).

100115769 is a wasteful number, since it uses less digits than its factorization.

100115769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 100115769 is about 10005.7867756614. The cubic root of 100115769 is about 464.3379316508.

The spelling of 100115769 in words is "one hundred million, one hundred fifteen thousand, seven hundred sixty-nine".