100040032344 has 32 divisors (see below), whose sum is σ = 285828664320. Its totient is φ = 28582866336.

The previous prime is 100040032319. The next prime is 100040032361. The reversal of 100040032344 is 443230040001.

It is a super-2 number, since 2×100040032344² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100040032344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297738024 + ... + 297738359.

It is an arithmetic number, because the mean of its divisors is an integer number (8932145760).

Almost surely, 2^100040032344 is an apocalyptic number.

100040032344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100040032344 is an abundant number, since it is smaller than the sum of its proper divisors (185788631976).

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

100040032344 is a wasteful number, since it uses less digits than its factorization.

100040032344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595476399 (or 595476395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 100040032344 its reverse (443230040001), we get a palindrome (543270072345).

The spelling of 100040032344 in words is "one hundred billion, forty million, thirty-two thousand, three hundred forty-four".