107007264 has 192 divisors, whose sum is σ = 384410880. Its totient is φ = 28200960.

The previous prime is 107007227. The next prime is 107007311. The reversal of 107007264 is 462700701.

It is a super-2 number, since 2×107007264² = 22901109097531392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77944 + ... + 79304.

It is an arithmetic number, because the mean of its divisors is an integer number (2002140).

Almost surely, 2^107007264 is an apocalyptic number.

107007264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107007264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192205440).

107007264 is an abundant number, since it is smaller than the sum of its proper divisors (277403616).

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

107007264 is a wasteful number, since it uses less digits than its factorization.

107007264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107007264 is about 10344.4315455225. The cubic root of 107007264 is about 474.7566827697.

Adding to 107007264 its reverse (462700701), we get a palindrome (569707965).

The spelling of 107007264 in words is "one hundred seven million, seven thousand, two hundred sixty-four".