100738344000 has 1344 divisors, whose sum is σ = 424089649152. Its totient is φ = 20579328000.

The previous prime is 100738343999. The next prime is 100738344011. The reversal of 100738344000 is 443837001.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×100738344000³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3249623985 + ... + 3249624015.

Almost surely, 2^100738344000 is an apocalyptic number.

100738344000 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 100738344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212044824576).

100738344000 is an abundant number, since it is smaller than the sum of its proper divisors (323351305152).

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

100738344000 is a wasteful number, since it uses less digits than its factorization.

100738344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 100738344000 in words is "one hundred billion, seven hundred thirty-eight million, three hundred forty-four thousand".