100881762228 has 288 divisors, whose sum is σ = 292846579200. Its totient is φ = 29839829760.

The previous prime is 100881762211. The next prime is 100881762239. The reversal of 100881762228 is 822267188001.

It is a happy number.

100881762228 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 8 + 17 + 622 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770089723 + ... + 770089853.

It is an arithmetic number, because the mean of its divisors is an integer number (1016828400).

Almost surely, 2^100881762228 is an apocalyptic number.

100881762228 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 100881762228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146423289600).

100881762228 is an abundant number, since it is smaller than the sum of its proper divisors (191964816972).

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

100881762228 is a wasteful number, since it uses less digits than its factorization.

100881762228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 100881762228 in words is "one hundred billion, eight hundred eighty-one million, seven hundred sixty-two thousand, two hundred twenty-eight".