105065000616006 has 12 divisors (see below), whose sum is σ = 227640834668052. Its totient is φ = 35021666871996.

The previous prime is 105065000615983. The next prime is 105065000616053. The reversal of 105065000616006 is 600616000560501.

It is a super-2 number, since 2×105065000616006² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2918472239316 + ... + 2918472239351.

It is an arithmetic number, because the mean of its divisors is an integer number (18970069555671).

Almost surely, 2^{105065000616006} is an apocalyptic number.

105065000616006 is an abundant number, since it is smaller than the sum of its proper divisors (122575834052046).

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

105065000616006 is a wasteful number, since it uses less digits than its factorization.

105065000616006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836944478675 (or 5836944478672 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105065000616006 in words is "one hundred five trillion, sixty-five billion, six hundred sixteen thousand, six".