100983064 has 128 divisors (see below), whose sum is σ = 251274240. Its totient is φ = 36951552.

The previous prime is 100983059. The next prime is 100983079. The reversal of 100983064 is 460389001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619447 + ... + 619609.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 2^100983064 is an apocalyptic number.

100983064 is a gapful number since it is divisible by the number (14) 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 100983064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125637120).

100983064 is an abundant number, since it is smaller than the sum of its proper divisors (150291176).

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

100983064 is a wasteful number, since it uses less digits than its factorization.

100983064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 100983064 is about 10049.0329883029. The cubic root of 100983064 is about 465.6749192550.

The spelling of 100983064 in words is "one hundred million, nine hundred eighty-three thousand, sixty-four".