100006807392 has 144 divisors (see below), whose sum is σ = 302808345840. Its totient is φ = 31199133696.

The previous prime is 100006807349. The next prime is 100006807447. The reversal of 100006807392 is 293708600001.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819328 + ... + 933440.

It is an arithmetic number, because the mean of its divisors is an integer number (2102835735).

Almost surely, 2^100006807392 is an apocalyptic number.

100006807392 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 100006807392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151404172920).

100006807392 is an abundant number, since it is smaller than the sum of its proper divisors (202801538448).

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

100006807392 is a wasteful number, since it uses less digits than its factorization.

100006807392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114325 (or 114314 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 100006807392 in words is "one hundred billion, six million, eight hundred seven thousand, three hundred ninety-two".