107897991768 has 288 divisors, whose sum is σ = 358578792000. Its totient is φ = 29143981440.

The previous prime is 107897991767. The next prime is 107897991769. The reversal of 107897991768 is 867199798701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107897991767) and next prime (107897991769).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 107897991696 and 107897991705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107897991763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38273863 + ... + 38276681.

It is an arithmetic number, because the mean of its divisors is an integer number (1245065250).

Almost surely, 2^107897991768 is an apocalyptic number.

107897991768 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 107897991768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179289396000).

107897991768 is an abundant number, since it is smaller than the sum of its proper divisors (250680800232).

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

107897991768 is a wasteful number, since it uses less digits than its factorization.

107897991768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 72.

The spelling of 107897991768 in words is "one hundred seven billion, eight hundred ninety-seven million, nine hundred ninety-one thousand, seven hundred sixty-eight".