100292213 has 16 divisors (see below), whose sum is σ = 120047616. Its totient is φ = 81921840.

The previous prime is 100292209. The next prime is 100292221. The reversal of 100292213 is 312292001.

It is not a de Polignac number, because 100292213 - 2² = 100292209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100292263) 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 15 ways as a sum of consecutive naturals, for example, 49070 + ... + 51072.

It is an arithmetic number, because the mean of its divisors is an integer number (7502976).

Almost surely, 2^100292213 is an apocalyptic number.

It is an amenable number.

100292213 is a deficient number, since it is larger than the sum of its proper divisors (19755403).

100292213 is a wasteful number, since it uses less digits than its factorization.

100292213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 100292213 is about 10014.5999920117. The cubic root of 100292213 is about 464.6105545652.

The spelling of 100292213 in words is "one hundred million, two hundred ninety-two thousand, two hundred thirteen".