100856742228 has 36 divisors (see below), whose sum is σ = 278120108448. Its totient is φ = 30562649040.

The previous prime is 100856742221. The next prime is 100856742241. The reversal of 100856742228 is 822247658001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100856742221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127343976 + ... + 127344767.

It is an arithmetic number, because the mean of its divisors is an integer number (7725558568).

Almost surely, 2^100856742228 is an apocalyptic number.

100856742228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100856742228 is an abundant number, since it is smaller than the sum of its proper divisors (177263366220).

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

100856742228 is a wasteful number, since it uses less digits than its factorization.

100856742228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254688764 (or 254688759 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 100856742228 in words is "one hundred billion, eight hundred fifty-six million, seven hundred forty-two thousand, two hundred twenty-eight".