100992339840 has 384 divisors, whose sum is σ = 375654633120. Its totient is φ = 23011000320.

The previous prime is 100992339817. The next prime is 100992339887. The reversal of 100992339840 is 48933299001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100992339840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33208720 + ... + 33211760.

Almost surely, 2^100992339840 is an apocalyptic number.

100992339840 is a gapful number since it is divisible by the number (10) 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 100992339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187827316560).

100992339840 is an abundant number, since it is smaller than the sum of its proper divisors (274662293280).

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

100992339840 is a wasteful number, since it uses less digits than its factorization.

100992339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 100992339840 in words is "one hundred billion, nine hundred ninety-two million, three hundred thirty-nine thousand, eight hundred forty".