109492416 has 126 divisors (see below), whose sum is σ = 345184476. Its totient is φ = 33158400.

The previous prime is 109492391. The next prime is 109492433. The reversal of 109492416 is 614294901.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 68911 + ... + 70481.

Almost surely, 2^109492416 is an apocalyptic number.

109492416 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 109492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172592238).

109492416 is an abundant number, since it is smaller than the sum of its proper divisors (235692060).

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

109492416 is a wasteful number, since it uses less digits than its factorization.

109492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109492416 is about 10463.8623844162. The cubic root of 109492416 is about 478.4038649516.

The spelling of 109492416 in words is "one hundred nine million, four hundred ninety-two thousand, four hundred sixteen".