100820516940 has 960 divisors, whose sum is σ = 390141480960. Its totient is φ = 21461760000.

The previous prime is 100820516911. The next prime is 100820516987. The reversal of 100820516940 is 49615028001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100820516895 and 100820516904.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 725327391 + ... + 725327529.

It is an arithmetic number, because the mean of its divisors is an integer number (406397376).

Almost surely, 2^100820516940 is an apocalyptic number.

100820516940 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 100820516940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195070740480).

100820516940 is an abundant number, since it is smaller than the sum of its proper divisors (289320964020).

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

100820516940 is a wasteful number, since it uses less digits than its factorization.

100820516940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 100820516940 in words is "one hundred billion, eight hundred twenty million, five hundred sixteen thousand, nine hundred forty".