100180828020 has 192 divisors, whose sum is σ = 345868862976. Its totient is φ = 21098465280.

The previous prime is 100180827973. The next prime is 100180828031. The reversal of 100180828020 is 20828081001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3024750 + ... + 3057690.

It is an arithmetic number, because the mean of its divisors is an integer number (1801400328).

Almost surely, 2^100180828020 is an apocalyptic number.

100180828020 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 100180828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172934431488).

100180828020 is an abundant number, since it is smaller than the sum of its proper divisors (245688034956).

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

100180828020 is a wasteful number, since it uses less digits than its factorization.

100180828020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33530 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 100180828020 in words is "one hundred billion, one hundred eighty million, eight hundred twenty-eight thousand, twenty".