110670400 has 63 divisors (see below), whose sum is σ = 273357721. Its totient is φ = 44099840.

The previous prime is 110670397. The next prime is 110670401. The reversal of 110670400 is 4076011.

It is a happy number.

The square root of 110670400 is 10520.

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

It can be written as a sum of positive squares in only one way, i.e., 39841344 + 70829056 = 6312^2 + 8416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110670401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 420669 + ... + 420931.

Almost surely, 2^110670400 is an apocalyptic number.

110670400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110670400 is the 10520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110670400

110670400 is an abundant number, since it is smaller than the sum of its proper divisors (162687321).

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

110670400 is an frugal number, since it uses more digits than its factorization.

110670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The cubic root of 110670400 is about 480.1133991335.

The spelling of 110670400 in words is "one hundred ten million, six hundred seventy thousand, four hundred".