107893764 has 216 divisors, whose sum is σ = 334623744. Its totient is φ = 29145600.

The previous prime is 107893763. The next prime is 107893769. The reversal of 107893764 is 467398701.

It is not an unprimeable number, because it can be changed into a prime (107893763) 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 71 ways as a sum of consecutive naturals, for example, 2295589 + ... + 2295635.

It is an arithmetic number, because the mean of its divisors is an integer number (1549184).

Almost surely, 2^107893764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107893764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

107893764 is an abundant number, since it is smaller than the sum of its proper divisors (226729980).

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

107893764 is a wasteful number, since it uses less digits than its factorization.

107893764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 107893764 is about 10387.1923059121. The cubic root of 107893764 is about 476.0641170133.

The spelling of 107893764 in words is "one hundred seven million, eight hundred ninety-three thousand, seven hundred sixty-four".