10100010984 has 64 divisors (see below), whose sum is σ = 28875325440. Its totient is φ = 2883902400.

The previous prime is 10100010979. The next prime is 10100011001. The reversal of 10100010984 is 48901000101.

10100010984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261309 + ... + 297459.

It is an arithmetic number, because the mean of its divisors is an integer number (451176960).

Almost surely, 2^10100010984 is an apocalyptic number.

10100010984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10100010984 is an abundant number, since it is smaller than the sum of its proper divisors (18775314456).

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

10100010984 is a wasteful number, since it uses less digits than its factorization.

10100010984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37830 (or 37826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 10100010984 in words is "ten billion, one hundred million, ten thousand, nine hundred eighty-four".