101984813 has 16 divisors (see below), whose sum is σ = 118702080. Its totient is φ = 85818096.

The previous prime is 101984809. The next prime is 101984821. The reversal of 101984813 is 318489101.

It is not a de Polignac number, because 101984813 - 2² = 101984809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101984843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122906 + ... + 123732.

It is an arithmetic number, because the mean of its divisors is an integer number (7418880).

Almost surely, 2^101984813 is an apocalyptic number.

It is an amenable number.

101984813 is a deficient number, since it is larger than the sum of its proper divisors (16717267).

101984813 is an equidigital number, since it uses as much as digits as its factorization.

101984813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136.

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 101984813 is about 10098.7530418364. The cubic root of 101984813 is about 467.2096825811.

The spelling of 101984813 in words is "one hundred one million, nine hundred eighty-four thousand, eight hundred thirteen".