100861983 has 24 divisors (see below), whose sum is σ = 151716240. Its totient is φ = 66225600.

The previous prime is 100861979. The next prime is 100861997. The reversal of 100861983 is 389168001.

It is not a de Polignac number, because 100861983 - 2² = 100861979 is a prime.

It is a super-2 number, since 2×100861983² = 20346279229384578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100861903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143533 + ... + 144233.

It is an arithmetic number, because the mean of its divisors is an integer number (6321510).

Almost surely, 2^100861983 is an apocalyptic number.

100861983 is a deficient number, since it is larger than the sum of its proper divisors (50854257).

100861983 is an frugal number, since it uses more digits than its factorization.

100861983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100861983 is about 10043.0066713111. The cubic root of 100861983 is about 465.4887265309.

The spelling of 100861983 in words is "one hundred million, eight hundred sixty-one thousand, nine hundred eighty-three".