100248073296000 has 4096 divisors, whose sum is σ = 443454455808000. Its totient is φ = 19479232512000.

The previous prime is 100248073295977. The next prime is 100248073296071. The reversal of 100248073296000 is 692370842001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 279242543821 + ... + 279242544179.

It is an arithmetic number, because the mean of its divisors is an integer number (108265248000).

Almost surely, 2^{100248073296000} is an apocalyptic number.

100248073296000 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 100248073296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221727227904000).

100248073296000 is an abundant number, since it is smaller than the sum of its proper divisors (343206382512000).

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

100248073296000 is a wasteful number, since it uses less digits than its factorization.

100248073296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 100248073296000 in words is "one hundred trillion, two hundred forty-eight billion, seventy-three million, two hundred ninety-six thousand".