109642414600 has 144 divisors (see below), whose sum is σ = 284870690100. Its totient is φ = 39104225280.

The previous prime is 109642414547. The next prime is 109642414621. The reversal of 109642414600 is 6414246901.

It can be written as a sum of positive squares in 6 ways, for example, as 79866151236 + 29776263364 = 282606^2 + 172558^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109642414600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1182736 + ... + 1272064.

Almost surely, 2^109642414600 is an apocalyptic number.

109642414600 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 109642414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142435345050).

109642414600 is an abundant number, since it is smaller than the sum of its proper divisors (175228275500).

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

109642414600 is a wasteful number, since it uses less digits than its factorization.

109642414600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89400 (or 89372 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 109642414600 in words is "one hundred nine billion, six hundred forty-two million, four hundred fourteen thousand, six hundred".