100052337 has 32 divisors (see below), whose sum is σ = 166892544. Its totient is φ = 51796800.

The previous prime is 100052321. The next prime is 100052353. The reversal of 100052337 is 733250001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100052321) and next prime (100052353).

It is not a de Polignac number, because 100052337 - 2⁴ = 100052321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100051337) 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 31 ways as a sum of consecutive naturals, for example, 91162 + ... + 92252.

It is an arithmetic number, because the mean of its divisors is an integer number (5215392).

Almost surely, 2^100052337 is an apocalyptic number.

It is an amenable number.

100052337 is a deficient number, since it is larger than the sum of its proper divisors (66840207).

100052337 is a wasteful number, since it uses less digits than its factorization.

100052337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 100052337 is about 10002.6165076944. The cubic root of 100052337 is about 464.2398448502.

The spelling of 100052337 in words is "one hundred million, fifty-two thousand, three hundred thirty-seven".