100312032 has 96 divisors (see below), whose sum is σ = 279465984. Its totient is φ = 31449600.

The previous prime is 100312007. The next prime is 100312033. The reversal of 100312032 is 230213001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100311999 and 100312017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109657 + ... + 110567.

It is an arithmetic number, because the mean of its divisors is an integer number (2911104).

Almost surely, 2^100312032 is an apocalyptic number.

100312032 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 100312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139732992).

100312032 is an abundant number, since it is smaller than the sum of its proper divisors (179153952).

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

100312032 is a wasteful number, since it uses less digits than its factorization.

100312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100312032 is about 10015.5894484548. The cubic root of 100312032 is about 464.6411568417.

Adding to 100312032 its reverse (230213001), we get a palindrome (330525033).

The spelling of 100312032 in words is "one hundred million, three hundred twelve thousand, thirty-two".