107710734001000 has 64 divisors (see below), whose sum is σ = 271431049715280. Its totient is φ = 39770117164800.

The previous prime is 107710734000983. The next prime is 107710734001037. The reversal of 107710734001000 is 100437017701.

It can be written as a sum of positive squares in 8 ways, for example, as 6919856435844 + 100790877565156 = 2630562^2 + 10039466^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4142707539 + ... + 4142733538.

Almost surely, 2^{107710734001000} is an apocalyptic number.

107710734001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107710734001000 is an abundant number, since it is smaller than the sum of its proper divisors (163720315714280).

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

107710734001000 is a wasteful number, since it uses less digits than its factorization.

107710734001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285441111 (or 8285441097 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 31.

The spelling of 107710734001000 in words is "one hundred seven trillion, seven hundred ten billion, seven hundred thirty-four million, one thousand".