107263968 has 192 divisors, whose sum is σ = 350945280. Its totient is φ = 27993600.

The previous prime is 107263967. The next prime is 107263991. The reversal of 107263968 is 869362701.

It is a happy number.

It is a super-2 number, since 2×107263968² = 23011117662210048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107263967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395673 + ... + 395943.

It is an arithmetic number, because the mean of its divisors is an integer number (1827840).

Almost surely, 2^107263968 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 107263968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175472640).

107263968 is an abundant number, since it is smaller than the sum of its proper divisors (243681312).

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

107263968 is a wasteful number, since it uses less digits than its factorization.

107263968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 107263968 is about 10356.8319480428. The cubic root of 107263968 is about 475.1360171878.

The spelling of 107263968 in words is "one hundred seven million, two hundred sixty-three thousand, nine hundred sixty-eight".