10345102255314 has 80 divisors (see below), whose sum is σ = 23241267201240. Its totient is φ = 3439359118080.

The previous prime is 10345102255309. The next prime is 10345102255337. The reversal of 10345102255314 is 41355220154301.

10345102255314 is a `hidden beast` number, since 1 + 0 + 34 + 51 + 0 + 22 + 553 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10107916697025 + 237185558289 = 3179295^2 + 487017^2 .

It is a super-2 number, since 2×10345102255314² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 607776124 + ... + 607793144.

Almost surely, 2^{10345102255314} is an apocalyptic number.

10345102255314 is an abundant number, since it is smaller than the sum of its proper divisors (12896164945926).

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

10345102255314 is a wasteful number, since it uses less digits than its factorization.

10345102255314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26617 (or 26608 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10345102255314 in words is "ten trillion, three hundred forty-five billion, one hundred two million, two hundred fifty-five thousand, three hundred fourteen".