100357881312 has 192 divisors, whose sum is σ = 299793070080. Its totient is φ = 29162225664.

The previous prime is 100357881257. The next prime is 100357881317. The reversal of 100357881312 is 213188753001.

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 (100357881317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245488 + ... + 2289744.

It is an arithmetic number, because the mean of its divisors is an integer number (1561422240).

Almost surely, 2^100357881312 is an apocalyptic number.

100357881312 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 100357881312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149896535040).

100357881312 is an abundant number, since it is smaller than the sum of its proper divisors (199435188768).

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

100357881312 is a wasteful number, since it uses less digits than its factorization.

100357881312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44385 (or 44377 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 100357881312 in words is "one hundred billion, three hundred fifty-seven million, eight hundred eighty-one thousand, three hundred twelve".