105417457314 has 32 divisors (see below), whose sum is σ = 227545585344. Its totient is φ = 32365769280.

The previous prime is 105417457297. The next prime is 105417457331. The reversal of 105417457314 is 413754714501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105417457297) and next prime (105417457331).

It is a super-2 number, since 2×105417457314² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429884 + ... + 1501799.

It is an arithmetic number, because the mean of its divisors is an integer number (7110799542).

Almost surely, 2^105417457314 is an apocalyptic number.

105417457314 is an abundant number, since it is smaller than the sum of its proper divisors (122128128030).

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

105417457314 is a wasteful number, since it uses less digits than its factorization.

105417457314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932162.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 105417457314 in words is "one hundred five billion, four hundred seventeen million, four hundred fifty-seven thousand, three hundred fourteen".