107306496 has 240 divisors, whose sum is σ = 354285360. Its totient is φ = 30965760.

The previous prime is 107306461. The next prime is 107306497. The reversal of 107306496 is 694603701.

107306496 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107306496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107306497) 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 23 ways as a sum of consecutive naturals, for example, 1469916 + ... + 1469988.

It is an arithmetic number, because the mean of its divisors is an integer number (1476189).

Almost surely, 2^107306496 is an apocalyptic number.

107306496 is a gapful number since it is divisible by the number (16) 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 107306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177142680).

107306496 is an abundant number, since it is smaller than the sum of its proper divisors (246978864).

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

107306496 is a wasteful number, since it uses less digits than its factorization.

107306496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 107306496 is about 10358.8848820710. The cubic root of 107306496 is about 475.1988028402.

It can be divided in two parts, 107 and 306496, that added together give a palindrome (306603).

The spelling of 107306496 in words is "one hundred seven million, three hundred six thousand, four hundred ninety-six".