107226400 has 36 divisors (see below), whose sum is σ = 261768402. Its totient is φ = 42890240.

The previous prime is 107226397. The next prime is 107226403. The reversal of 107226400 is 4622701.

It is an interprime number because it is at equal distance from previous prime (107226397) and next prime (107226403).

It can be written as a sum of positive squares in 3 ways, for example, as 82664464 + 24561936 = 9092^2 + 4956^2 .

It is a super-2 number, since 2×107226400² = 22995001713920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107226403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66217 + ... + 67816.

Almost surely, 2^107226400 is an apocalyptic number.

107226400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107226400 is an abundant number, since it is smaller than the sum of its proper divisors (154542002).

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

107226400 is a wasteful number, since it uses less digits than its factorization.

107226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134053 (or 134040 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 107226400 is about 10355.0181071788. The cubic root of 107226400 is about 475.0805403595.

It can be divided in two parts, 1072 and 26400, that added together give a palindrome (27472).

The spelling of 107226400 in words is "one hundred seven million, two hundred twenty-six thousand, four hundred".