100940878080 has 1296 divisors, whose sum is σ = 435115437120. Its totient is φ = 22323216384.

The previous prime is 100940878063. The next prime is 100940878081. The reversal of 100940878080 is 80878049001.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×100940878080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100940878081) 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, 563915431 + ... + 563915609.

It is an arithmetic number, because the mean of its divisors is an integer number (335737220).

Almost surely, 2^100940878080 is an apocalyptic number.

100940878080 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 100940878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217557718560).

100940878080 is an abundant number, since it is smaller than the sum of its proper divisors (334174559040).

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

100940878080 is an equidigital number, since it uses as much as digits as its factorization.

100940878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 100940878080 in words is "one hundred billion, nine hundred forty million, eight hundred seventy-eight thousand, eighty".