100851413 has 8 divisors (see below), whose sum is σ = 108687768. Its totient is φ = 93026304.

The previous prime is 100851403. The next prime is 100851427. The reversal of 100851413 is 314158001.

It can be written as a sum of positive squares in 4 ways, for example, as 41899729 + 58951684 = 6473^2 + 7678^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100851413 - 2¹⁴ = 100835029 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 (100851403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30581 + ... + 33717.

It is an arithmetic number, because the mean of its divisors is an integer number (13585971).

Almost surely, 2^100851413 is an apocalyptic number.

100851413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100851413 is a deficient number, since it is larger than the sum of its proper divisors (7836355).

100851413 is a wasteful number, since it uses less digits than its factorization.

100851413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 100851413 is about 10042.4804206929. The cubic root of 100851413 is about 465.4724654067.

The spelling of 100851413 in words is "one hundred million, eight hundred fifty-one thousand, four hundred thirteen".