100352458080 has 1152 divisors, whose sum is σ = 427966156800. Its totient is φ = 20907528192.

The previous prime is 100352458057. The next prime is 100352458109. The reversal of 100352458080 is 80854253001.

It is a happy number.

100352458080 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 524 + 58 + 0 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 937873387 + ... + 937873493.

It is an arithmetic number, because the mean of its divisors is an integer number (371498400).

Almost surely, 2^100352458080 is an apocalyptic number.

100352458080 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 100352458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213983078400).

100352458080 is an abundant number, since it is smaller than the sum of its proper divisors (327613698720).

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

100352458080 is a wasteful number, since it uses less digits than its factorization.

100352458080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 100352458080 in words is "one hundred billion, three hundred fifty-two million, four hundred fifty-eight thousand, eighty".