109293456 has 80 divisors (see below), whose sum is σ = 289991360. Its totient is φ = 35458560.

The previous prime is 109293451. The next prime is 109293461. The reversal of 109293456 is 654392901.

It is an interprime number because it is at equal distance from previous prime (109293451) and next prime (109293461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109293451) 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, 477150 + ... + 477378.

It is an arithmetic number, because the mean of its divisors is an integer number (3624892).

Almost surely, 2^109293456 is an apocalyptic number.

109293456 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 109293456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144995680).

109293456 is an abundant number, since it is smaller than the sum of its proper divisors (180697904).

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

109293456 is a wasteful number, since it uses less digits than its factorization.

109293456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 109293456 is about 10454.3510559001. The cubic root of 109293456 is about 478.1139180993.

The spelling of 109293456 in words is "one hundred nine million, two hundred ninety-three thousand, four hundred fifty-six".