100348901928 has 576 divisors, whose sum is σ = 334773129600. Its totient is φ = 26986291200.

The previous prime is 100348901867. The next prime is 100348901929. The reversal of 100348901928 is 829109843001.

It is not an unprimeable number, because it can be changed into a prime (100348901929) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303168723 + ... + 303169053.

It is an arithmetic number, because the mean of its divisors is an integer number (581203350).

Almost surely, 2^100348901928 is an apocalyptic number.

100348901928 is a gapful number since it is divisible by the number (18) 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 100348901928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167386564800).

100348901928 is an abundant number, since it is smaller than the sum of its proper divisors (234424227672).

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

100348901928 is a wasteful number, since it uses less digits than its factorization.

100348901928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 100348901928 in words is "one hundred billion, three hundred forty-eight million, nine hundred one thousand, nine hundred twenty-eight".