106923840 has 112 divisors (see below), whose sum is σ = 342546432. Its totient is φ = 28256256.

The previous prime is 106923823. The next prime is 106923847. The reversal of 106923840 is 48329601.

It is a super-2 number, since 2×106923840² = 22865415120691200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106923847) 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 15 ways as a sum of consecutive naturals, for example, 121482 + ... + 122358.

Almost surely, 2^106923840 is an apocalyptic number.

106923840 is a gapful number since it is divisible by the number (10) 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 106923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171273216).

106923840 is an abundant number, since it is smaller than the sum of its proper divisors (235622592).

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

106923840 is a wasteful number, since it uses less digits than its factorization.

106923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 106923840 is about 10340.3984449343. The cubic root of 106923840 is about 474.6332755762.

The spelling of 106923840 in words is "one hundred six million, nine hundred twenty-three thousand, eight hundred forty".