100431852 has 48 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 31386880.

The previous prime is 100431839. The next prime is 100431883. The reversal of 100431852 is 258134001.

It is a super-2 number, since 2×100431852² = 20173113792299808, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62653 + ... + 64235.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2^100431852 is an apocalyptic number.

100431852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100431852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

100431852 is an abundant number, since it is smaller than the sum of its proper divisors (148648980).

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

100431852 is a wasteful number, since it uses less digits than its factorization.

100431852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100431852 is about 10021.5693381825. The cubic root of 100431852 is about 464.8260836487.

Adding to 100431852 its reverse (258134001), we get a palindrome (358565853).

The spelling of 100431852 in words is "one hundred million, four hundred thirty-one thousand, eight hundred fifty-two".