105500800253106 has 24 divisors (see below), whose sum is σ = 228688640054784. Its totient is φ = 35150999134680.

The previous prime is 105500800253083. The next prime is 105500800253129. The reversal of 105500800253106 is 601352008005501.

It is a happy number.

105500800253106 is a `hidden beast` number, since 1 + 0 + 550 + 0 + 80 + 0 + 25 + 3 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (105500800253083) and next prime (105500800253129).

It is a super-2 number, since 2×105500800253106² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327816090 + ... + 1327895541.

It is an arithmetic number, because the mean of its divisors is an integer number (9528693335616).

Almost surely, 2^{105500800253106} is an apocalyptic number.

105500800253106 is an abundant number, since it is smaller than the sum of its proper divisors (123187839801678).

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

105500800253106 is a wasteful number, since it uses less digits than its factorization.

105500800253106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655713846 (or 2655713843 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 105500800253106 its reverse (601352008005501), we get a palindrome (706852808258607).

The spelling of 105500800253106 in words is "one hundred five trillion, five hundred billion, eight hundred million, two hundred fifty-three thousand, one hundred six".