110400345 has 48 divisors (see below), whose sum is σ = 217855872. Its totient is φ = 51194880.

The previous prime is 110400343. The next prime is 110400347. The reversal of 110400345 is 543004011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110400343) and next prime (110400347).

It is not a de Polignac number, because 110400345 - 2¹ = 110400343 is a prime.

It is a super-2 number, since 2×110400345² = 24376472352238050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110400343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6537 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (4538664).

Almost surely, 2^110400345 is an apocalyptic number.

110400345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110400345 is a deficient number, since it is larger than the sum of its proper divisors (107455527).

110400345 is a wasteful number, since it uses less digits than its factorization.

110400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 110400345 is about 10507.1568466451. The cubic root of 110400345 is about 479.7225610259.

Adding to 110400345 its reverse (543004011), we get a palindrome (653404356).

The spelling of 110400345 in words is "one hundred ten million, four hundred thousand, three hundred forty-five".