109700413200 has 720 divisors, whose sum is σ = 452137061376. Its totient is φ = 24109747200.

The previous prime is 109700413129. The next prime is 109700413213. The reversal of 109700413200 is 2314007901.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72600445 + ... + 72601955.

Almost surely, 2^109700413200 is an apocalyptic number.

109700413200 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 109700413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226068530688).

109700413200 is an abundant number, since it is smaller than the sum of its proper divisors (342436648176).

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

109700413200 is a wasteful number, since it uses less digits than its factorization.

109700413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 109700413200 in words is "one hundred nine billion, seven hundred million, four hundred thirteen thousand, two hundred".