100413765 has 24 divisors (see below), whose sum is σ = 183212640. Its totient is φ = 50734944.

The previous prime is 100413749. The next prime is 100413793. The reversal of 100413765 is 567314001.

It is not a de Polignac number, because 100413765 - 2⁴ = 100413749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57867 + ... + 59576.

It is an arithmetic number, because the mean of its divisors is an integer number (7633860).

Almost surely, 2^100413765 is an apocalyptic number.

100413765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100413765 is a deficient number, since it is larger than the sum of its proper divisors (82798875).

100413765 is a wasteful number, since it uses less digits than its factorization.

100413765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117473 (or 117470 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 100413765 is about 10020.6668939747. Note that the first 3 decimals coincide. The cubic root of 100413765 is about 464.7981781123.

Adding to 100413765 its reverse (567314001), we get a palindrome (667727766).

The spelling of 100413765 in words is "one hundred million, four hundred thirteen thousand, seven hundred sixty-five".