100835193312 has 216 divisors, whose sum is σ = 333816314832. Its totient is φ = 28788480000.

The previous prime is 100835193311. The next prime is 100835193331. The reversal of 100835193312 is 213391538001.

100835193312 is a `hidden beast` number, since 100 + 8 + 3 + 519 + 3 + 31 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100835193311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35998312 + ... + 36001112.

It is an arithmetic number, because the mean of its divisors is an integer number (1545445902).

Almost surely, 2^100835193312 is an apocalyptic number.

100835193312 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 100835193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166908157416).

100835193312 is an abundant number, since it is smaller than the sum of its proper divisors (232981121520).

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

100835193312 is a wasteful number, since it uses less digits than its factorization.

100835193312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100835193312 in words is "one hundred billion, eight hundred thirty-five million, one hundred ninety-three thousand, three hundred twelve".