107023968 has 144 divisors (see below), whose sum is σ = 322672896. Its totient is φ = 33580800.

The previous prime is 107023967. The next prime is 107023999. The reversal of 107023968 is 869320701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107023968² = 22908259452930048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107023963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708693 + ... + 708843.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 2^107023968 is an apocalyptic number.

107023968 is a gapful number since it is divisible by the number (18) 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 107023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448).

107023968 is an abundant number, since it is smaller than the sum of its proper divisors (215648928).

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

107023968 is a wasteful number, since it uses less digits than its factorization.

107023968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107023968 is about 10345.2389049263. The cubic root of 107023968 is about 474.7813849028.

The spelling of 107023968 in words is "one hundred seven million, twenty-three thousand, nine hundred sixty-eight".