100383199213440 has 768 divisors, whose sum is σ = 385178634892800. Its totient is φ = 22082598912000.

The previous prime is 100383199213403. The next prime is 100383199213459. The reversal of 100383199213440 is 44312991383001.

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 100383199213440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177907765 + ... + 178471115.

It is an arithmetic number, because the mean of its divisors is an integer number (501534680850).

Almost surely, 2^{100383199213440} is an apocalyptic number.

100383199213440 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 100383199213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192589317446400).

100383199213440 is an abundant number, since it is smaller than the sum of its proper divisors (284795435679360).

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

100383199213440 is a wasteful number, since it uses less digits than its factorization.

100383199213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563467 (or 563444 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 100383199213440 in words is "one hundred trillion, three hundred eighty-three billion, one hundred ninety-nine million, two hundred thirteen thousand, four hundred forty".