100437012 has 72 divisors (see below), whose sum is σ = 274679496. Its totient is φ = 30760704.

The previous prime is 100437011. The next prime is 100437017. The reversal of 100437012 is 210734001.

It can be written as a sum of positive squares in 4 ways, for example, as 7584516 + 92852496 = 2754^2 + 9636^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100437011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148018 + ... + 148694.

It is an arithmetic number, because the mean of its divisors is an integer number (3814993).

Almost surely, 2^100437012 is an apocalyptic number.

100437012 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 100437012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137339748).

100437012 is an abundant number, since it is smaller than the sum of its proper divisors (174242484).

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

100437012 is a wasteful number, since it uses less digits than its factorization.

100437012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100437012 is about 10021.8267795846. The cubic root of 100437012 is about 464.8340441429.

The spelling of 100437012 in words is "one hundred million, four hundred thirty-seven thousand, twelve".