109345680 has 320 divisors, whose sum is σ = 411402240. Its totient is φ = 26611200.

The previous prime is 109345583. The next prime is 109345697. The reversal of 109345680 is 86543901.

109345680 is a `hidden beast` number, since 1 + 0 + 93 + 4 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540045 + ... + 1540115.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 2^109345680 is an apocalyptic number.

109345680 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 109345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

109345680 is an abundant number, since it is smaller than the sum of its proper divisors (302056560).

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

109345680 is a wasteful number, since it uses less digits than its factorization.

109345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 109345680 is about 10456.8484736081. The cubic root of 109345680 is about 478.1900588133.

The spelling of 109345680 in words is "one hundred nine million, three hundred forty-five thousand, six hundred eighty".