100580123 has 8 divisors (see below), whose sum is σ = 115533792. Its totient is φ = 85772736.

The previous prime is 100580119. The next prime is 100580189. The reversal of 100580123 is 321085001.

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

It is not a de Polignac number, because 100580123 - 2² = 100580119 is a prime.

It is a super-2 number, since 2×100580123² = 20232722285390258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100580095 and 100580104.

It is not an unprimeable number, because it can be changed into a prime (100580923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35090 + ... + 37847.

It is an arithmetic number, because the mean of its divisors is an integer number (14441724).

Almost surely, 2^100580123 is an apocalyptic number.

100580123 is a deficient number, since it is larger than the sum of its proper divisors (14953669).

100580123 is an equidigital number, since it uses as much as digits as its factorization.

100580123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73141.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 100580123 is about 10028.9642037451. The cubic root of 100580123 is about 465.0547174212.

The spelling of 100580123 in words is "one hundred million, five hundred eighty thousand, one hundred twenty-three".