107036117864 has 64 divisors (see below), whose sum is σ = 223696242000. Its totient is φ = 47673722880.

The previous prime is 107036117833. The next prime is 107036117869. The reversal of 107036117864 is 468711630701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41734404100 + 65301713764 = 204290^2 + 255542^2 .

It is a super-2 number, since 2×107036117864² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107036117869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6835484 + ... + 6851124.

Almost surely, 2^107036117864 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 107036117864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111848121000).

107036117864 is an abundant number, since it is smaller than the sum of its proper divisors (116660124136).

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

107036117864 is a wasteful number, since it uses less digits than its factorization.

107036117864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17958 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 107036117864 in words is "one hundred seven billion, thirty-six million, one hundred seventeen thousand, eight hundred sixty-four".