100528282681 has 48 divisors (see below), whose sum is σ = 111279360816. Its totient is φ = 90724368384.

The previous prime is 100528282667. The next prime is 100528282691. The reversal of 100528282681 is 186282825001.

It can be written as a sum of positive squares in 24 ways, for example, as 3879421225 + 96648861456 = 62285^2 + 310884^2 .

It is not a de Polignac number, because 100528282681 - 2⁵ = 100528282649 is a prime.

It is a super-2 number, since 2×100528282681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100528282601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391160505 + ... + 391160761.

It is an arithmetic number, because the mean of its divisors is an integer number (2318320017).

Almost surely, 2^100528282681 is an apocalyptic number.

It is an amenable number.

100528282681 is a deficient number, since it is larger than the sum of its proper divisors (10751078135).

100528282681 is a wasteful number, since it uses less digits than its factorization.

100528282681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 100528282681 in words is "one hundred billion, five hundred twenty-eight million, two hundred eighty-two thousand, six hundred eighty-one".