109953376 has 48 divisors (see below), whose sum is σ = 237568464. Its totient is φ = 49780224.

The previous prime is 109953353. The next prime is 109953379. The reversal of 109953376 is 673359901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109953379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19555 + ... + 24541.

It is an arithmetic number, because the mean of its divisors is an integer number (4949343).

Almost surely, 2^109953376 is an apocalyptic number.

109953376 is a gapful number since it is divisible by the number (16) 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 109953376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118784232).

109953376 is an abundant number, since it is smaller than the sum of its proper divisors (127615088).

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

109953376 is a wasteful number, since it uses less digits than its factorization.

109953376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 43.

The square root of 109953376 is about 10485.8655341369. The cubic root of 109953376 is about 479.0742806368.

The spelling of 109953376 in words is "one hundred nine million, nine hundred fifty-three thousand, three hundred seventy-six".