109629440 has 104 divisors (see below), whose sum is σ = 270696168. Its totient is φ = 42598400.

The previous prime is 109629437. The next prime is 109629461. The reversal of 109629440 is 44926901.

It can be written as a sum of positive squares in 4 ways, for example, as 48664576 + 60964864 = 6976^2 + 7808^2 .

It is a super-2 number, since 2×109629440² = 24037228229427200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109629440.

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 7 ways as a sum of consecutive naturals, for example, 1085390 + ... + 1085490.

Almost surely, 2^109629440 is an apocalyptic number.

109629440 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 109629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135348084).

109629440 is an abundant number, since it is smaller than the sum of its proper divisors (161066728).

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

109629440 is an equidigital number, since it uses as much as digits as its factorization.

109629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 109629440 is about 10470.4078239580. The cubic root of 109629440 is about 478.6033475194.

It can be divided in two parts, 10962 and 9440, that added together give a palindrome (20402).

The spelling of 109629440 in words is "one hundred nine million, six hundred twenty-nine thousand, four hundred forty".