101840053338 has 96 divisors (see below), whose sum is σ = 237665376000. Its totient is φ = 31433453568.

The previous prime is 101840053327. The next prime is 101840053369. The reversal of 101840053338 is 833350048101.

101840053338 is a `hidden beast` number, since 10 + 1 + 84 + 0 + 0 + 533 + 38 = 666.

It is a super-4 number, since 4×101840053338⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031578 + ... + 3064986.

It is an arithmetic number, because the mean of its divisors is an integer number (2475681000).

Almost surely, 2^101840053338 is an apocalyptic number.

101840053338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101840053338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118832688000).

101840053338 is an abundant number, since it is smaller than the sum of its proper divisors (135825322662).

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

101840053338 is a wasteful number, since it uses less digits than its factorization.

101840053338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33676 (or 33673 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 101840053338 in words is "one hundred one billion, eight hundred forty million, fifty-three thousand, three hundred thirty-eight".