100434312 has 96 divisors (see below), whose sum is σ = 298640160. Its totient is φ = 30240000.

The previous prime is 100434281. The next prime is 100434329. The reversal of 100434312 is 213434001.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166812 + ... + 167412.

It is an arithmetic number, because the mean of its divisors is an integer number (3110835).

Almost surely, 2^100434312 is an apocalyptic number.

100434312 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 100434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149320080).

100434312 is an abundant number, since it is smaller than the sum of its proper divisors (198205848).

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

100434312 is a wasteful number, since it uses less digits than its factorization.

100434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100434312 is about 10021.6920726991. The cubic root of 100434312 is about 464.8298788020.

Adding to 100434312 its reverse (213434001), we get a palindrome (313868313).

The spelling of 100434312 in words is "one hundred million, four hundred thirty-four thousand, three hundred twelve".