107866134864 has 160 divisors (see below), whose sum is σ = 312560153600. Its totient is φ = 35614857600.

The previous prime is 107866134821. The next prime is 107866134889. The reversal of 107866134864 is 468431668701.

107866134864 is a `hidden beast` number, since 10 + 7 + 8 + 6 + 613 + 4 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107866134864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24720747 + ... + 24725109.

It is an arithmetic number, because the mean of its divisors is an integer number (1953500960).

Almost surely, 2^107866134864 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 107866134864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280076800).

107866134864 is an abundant number, since it is smaller than the sum of its proper divisors (204694018736).

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

107866134864 is a wasteful number, since it uses less digits than its factorization.

107866134864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 107866134864 in words is "one hundred seven billion, eight hundred sixty-six million, one hundred thirty-four thousand, eight hundred sixty-four".