100465937 has 36 divisors (see below), whose sum is σ = 127049580. Its totient is φ = 79347840.

The previous prime is 100465919. The next prime is 100465943. The reversal of 100465937 is 739564001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 11182336 + 89283601 = 3344^2 + 9449^2 .

It is not a de Polignac number, because 100465937 - 2¹² = 100461841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100465897 and 100465906.

It is not an unprimeable number, because it can be changed into a prime (100465987) 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, 5909753 + ... + 5909769.

It is an arithmetic number, because the mean of its divisors is an integer number (3529155).

Almost surely, 2^100465937 is an apocalyptic number.

100465937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100465937 is a deficient number, since it is larger than the sum of its proper divisors (26583643).

100465937 is an equidigital number, since it uses as much as digits as its factorization.

100465937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 100465937 is about 10023.2697758765. The cubic root of 100465937 is about 464.8786626023.

The spelling of 100465937 in words is "one hundred million, four hundred sixty-five thousand, nine hundred thirty-seven".