100345626080 has 288 divisors, whose sum is σ = 286996856832. Its totient is φ = 33022080000.

The previous prime is 100345626077. The next prime is 100345626137. The reversal of 100345626080 is 80626543001.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 100345626080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30864455 + ... + 30867705.

It is an arithmetic number, because the mean of its divisors is an integer number (996516864).

Almost surely, 2^100345626080 is an apocalyptic number.

100345626080 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 100345626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143498428416).

100345626080 is an abundant number, since it is smaller than the sum of its proper divisors (186651230752).

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

100345626080 is a wasteful number, since it uses less digits than its factorization.

100345626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 100345626080 in words is "one hundred billion, three hundred forty-five million, six hundred twenty-six thousand, eighty".