106977024 has 360 divisors, whose sum is σ = 403632768. Its totient is φ = 27371520.

The previous prime is 106977019. The next prime is 106977037. The reversal of 106977024 is 420779601.

It is a happy number.

It is a super-2 number, since 2×106977024² = 22888167327793152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106977024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596639 + ... + 1596705.

Almost surely, 2^106977024 is an apocalyptic number.

106977024 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 106977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201816384).

106977024 is an abundant number, since it is smaller than the sum of its proper divisors (296655744).

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

106977024 is an equidigital number, since it uses as much as digits as its factorization.

106977024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

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

The square root of 106977024 is about 10342.9697862848. The cubic root of 106977024 is about 474.7119568506.

The spelling of 106977024 in words is "one hundred six million, nine hundred seventy-seven thousand, twenty-four".