101993976 has 96 divisors (see below), whose sum is σ = 332342400. Its totient is φ = 27604800.

The previous prime is 101993971. The next prime is 101993987. The reversal of 101993976 is 679399101.

It is a super-2 number, since 2×101993976² = 20805542280577152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101993971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4251 + ... + 14901.

It is an arithmetic number, because the mean of its divisors is an integer number (3461900).

Almost surely, 2^101993976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101993976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166171200).

101993976 is an abundant number, since it is smaller than the sum of its proper divisors (230348424).

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

101993976 is a wasteful number, since it uses less digits than its factorization.

101993976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 101993976 is about 10099.2067015187. The cubic root of 101993976 is about 467.2236745798.

The spelling of 101993976 in words is "one hundred one million, nine hundred ninety-three thousand, nine hundred seventy-six".