100312590 has 128 divisors (see below), whose sum is σ = 299335680. Its totient is φ = 20995200.

The previous prime is 100312579. The next prime is 100312603. The reversal of 100312590 is 95213001.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123285 + ... + 124095.

It is an arithmetic number, because the mean of its divisors is an integer number (2338560).

Almost surely, 2^100312590 is an apocalyptic number.

100312590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149667840).

100312590 is an abundant number, since it is smaller than the sum of its proper divisors (199023090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100312590 is a wasteful number, since it uses less digits than its factorization.

100312590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 100312590 is about 10015.6173049892. The cubic root of 100312590 is about 464.6420183843.

Adding to 100312590 its reverse (95213001), we get a palindrome (195525591).

It can be divided in two parts, 10031 and 2590, that added together give a palindrome (12621).

The spelling of 100312590 in words is "one hundred million, three hundred twelve thousand, five hundred ninety".