106945344 has 84 divisors (see below), whose sum is σ = 334426560. Its totient is φ = 32405760.

The previous prime is 106945291. The next prime is 106945373. The reversal of 106945344 is 443549601.

It is a super-2 number, since 2×106945344² = 22874613206556672, which contains 22 as substring.

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 = 106945299 and 106945308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2104 + ... + 14775.

Almost surely, 2^106945344 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 106945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167213280).

106945344 is an abundant number, since it is smaller than the sum of its proper divisors (227481216).

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

106945344 is a wasteful number, since it uses less digits than its factorization.

106945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16908 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106945344 is about 10341.4381978524. The cubic root of 106945344 is about 474.6650920847.

The spelling of 106945344 in words is "one hundred six million, nine hundred forty-five thousand, three hundred forty-four".