107366721 has 32 divisors (see below), whose sum is σ = 180953088. Its totient is φ = 55002240.

The previous prime is 107366719. The next prime is 107366759. The reversal of 107366721 is 127663701.

107366721 = 29² + 30² + ... + 685².

It is not a de Polignac number, because 107366721 - 2¹ = 107366719 is a prime.

It is a super-2 number, since 2×107366721² = 23055225556583682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107366761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13680 + ... + 20046.

It is an arithmetic number, because the mean of its divisors is an integer number (5654784).

Almost surely, 2^107366721 is an apocalyptic number.

107366721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107366721 is a deficient number, since it is larger than the sum of its proper divisors (73586367).

107366721 is a wasteful number, since it uses less digits than its factorization.

107366721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 107366721 is about 10361.7913991742. The cubic root of 107366721 is about 475.2876868519.

The spelling of 107366721 in words is "one hundred seven million, three hundred sixty-six thousand, seven hundred twenty-one".