105105605611000 has 64 divisors (see below), whose sum is σ = 260414594650080. Its totient is φ = 39569169164800.

The previous prime is 105105605610959. The next prime is 105105605611121. The reversal of 105105605611000 is 116506501501.

It is a super-2 number, since 2×105105605611000² (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 15 ways as a sum of consecutive naturals, for example, 3091324342 + ... + 3091358341.

Almost surely, 2^{105105605611000} is an apocalyptic number.

105105605611000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105605611000 is an abundant number, since it is smaller than the sum of its proper divisors (155308989039080).

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

105105605611000 is a wasteful number, since it uses less digits than its factorization.

105105605611000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182682721 (or 6182682707 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105105605611000 in words is "one hundred five trillion, one hundred five billion, six hundred five million, six hundred eleven thousand".