100058409 has 72 divisors (see below), whose sum is σ = 170797536. Its totient is φ = 58449600.

The previous prime is 100058401. The next prime is 100058419. The reversal of 100058409 is 904850001.

It is not a de Polignac number, because 100058409 - 2³ = 100058401 is a prime.

It is a super-2 number, since 2×100058409² = 20023370423222562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100058401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1205482 + ... + 1205564.

It is an arithmetic number, because the mean of its divisors is an integer number (2372188).

Almost surely, 2^100058409 is an apocalyptic number.

It is an amenable number.

100058409 is a deficient number, since it is larger than the sum of its proper divisors (70739127).

100058409 is an equidigital number, since it uses as much as digits as its factorization.

100058409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100058409 is about 10002.9200236731. The cubic root of 100058409 is about 464.2492359596.

The spelling of 100058409 in words is "one hundred million, fifty-eight thousand, four hundred nine".