10100229984 has 96 divisors (see below), whose sum is σ = 31725116640. Its totient is φ = 3107759616.

The previous prime is 10100229961. The next prime is 10100230003. The reversal of 10100229984 is 48992200101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438387 + ... + 460850.

It is an arithmetic number, because the mean of its divisors is an integer number (330469965).

Almost surely, 2^10100229984 is an apocalyptic number.

It is an amenable number.

10100229984 is an abundant number, since it is smaller than the sum of its proper divisors (21624886656).

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

10100229984 is a wasteful number, since it uses less digits than its factorization.

10100229984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899269 (or 899255 counting only the distinct ones).

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

The spelling of 10100229984 in words is "ten billion, one hundred million, two hundred twenty-nine thousand, nine hundred eighty-four".