100049743200 has 288 divisors, whose sum is σ = 355769729280. Its totient is φ = 24220211200.

The previous prime is 100049743169. The next prime is 100049743237. The reversal of 100049743200 is 2347940001.

It is a happy number.

It is a super-2 number, since 2×100049743200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 22147342 + ... + 22151858.

It is an arithmetic number, because the mean of its divisors is an integer number (1235311560).

Almost surely, 2^100049743200 is an apocalyptic number.

100049743200 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 100049743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177884864640).

100049743200 is an abundant number, since it is smaller than the sum of its proper divisors (255719986080).

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

100049743200 is a wasteful number, since it uses less digits than its factorization.

100049743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 100049743200 in words is "one hundred billion, forty-nine million, seven hundred forty-three thousand, two hundred".