103849344000 has 704 divisors, whose sum is σ = 388307712000. Its totient is φ = 27371520000.

The previous prime is 103849343957. The next prime is 103849344059. The reversal of 103849344000 is 443948301.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521855901 + ... + 521856099.

Almost surely, 2^103849344000 is an apocalyptic number.

103849344000 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 103849344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194153856000).

103849344000 is an abundant number, since it is smaller than the sum of its proper divisors (284458368000).

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

103849344000 is a wasteful number, since it uses less digits than its factorization.

103849344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 103849344000 in words is "one hundred three billion, eight hundred forty-nine million, three hundred forty-four thousand".