100199435232 has 192 divisors, whose sum is σ = 302449061376. Its totient is φ = 28803962880.

The previous prime is 100199435179. The next prime is 100199435233. The reversal of 100199435232 is 232534991001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100199435233) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1193682 + ... + 1274862.

It is an arithmetic number, because the mean of its divisors is an integer number (1575255528).

Almost surely, 2^100199435232 is an apocalyptic number.

100199435232 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 100199435232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151224530688).

100199435232 is an abundant number, since it is smaller than the sum of its proper divisors (202249626144).

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

100199435232 is a wasteful number, since it uses less digits than its factorization.

100199435232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81273 (or 81265 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 100199435232 in words is "one hundred billion, one hundred ninety-nine million, four hundred thirty-five thousand, two hundred thirty-two".