101977344 has 108 divisors (see below), whose sum is σ = 336082656. Its totient is φ = 29131776.

The previous prime is 101977327. The next prime is 101977363. The reversal of 101977344 is 443779101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101977299 and 101977308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12967 + ... + 19289.

Almost surely, 2^101977344 is an apocalyptic number.

101977344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168041328).

101977344 is an abundant number, since it is smaller than the sum of its proper divisors (234105312).

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

101977344 is an equidigital number, since it uses as much as digits as its factorization.

101977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 101977344 is about 10098.3832369345. The cubic root of 101977344 is about 467.1982767185.

The spelling of 101977344 in words is "one hundred one million, nine hundred seventy-seven thousand, three hundred forty-four".