109693440000 has 975 divisors, whose sum is σ = 428053903123. Its totient is φ = 27979776000.

The previous prime is 109693439983. The next prime is 109693440001. The reversal of 109693440000 is 44396901.

The square root of 109693440000 is 331200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8599965696 + 101093474304 = 92736^2 + 317952^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109693440001) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4769279989 + ... + 4769280011.

Almost surely, 2^109693440000 is an apocalyptic number.

109693440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109693440000 is the 331200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109693440000

109693440000 is an abundant number, since it is smaller than the sum of its proper divisors (318360463123).

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

109693440000 is an frugal number, since it uses more digits than its factorization.

109693440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 109693440000 by its sum of digits (36), we get a square (3948963840000 = 1987200²).

109693440000 divided by its sum of digits (36) gives a square (3047040000 = 55200²).

The spelling of 109693440000 in words is "one hundred nine billion, six hundred ninety-three million, four hundred forty thousand".