105655772110 has 32 divisors (see below), whose sum is σ = 218306534400. Its totient is φ = 36065249952.

The previous prime is 105655772107. The next prime is 105655772113. The reversal of 105655772110 is 11277556501.

It is an interprime number because it is at equal distance from previous prime (105655772107) and next prime (105655772113).

It is a super-2 number, since 2×105655772110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105655772113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3308710 + ... + 3340489.

It is an arithmetic number, because the mean of its divisors is an integer number (6822079200).

Almost surely, 2^105655772110 is an apocalyptic number.

105655772110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105655772110 is an abundant number, since it is smaller than the sum of its proper divisors (112650762290).

105655772110 is a wasteful number, since it uses less digits than its factorization.

105655772110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649440.

The product of its (nonzero) digits is 73500, while the sum is 40.

The spelling of 105655772110 in words is "one hundred five billion, six hundred fifty-five million, seven hundred seventy-two thousand, one hundred ten".