105235534102220 has 96 divisors (see below), whose sum is σ = 222714116352000. Its totient is φ = 41767816147200.

The previous prime is 105235534102187. The next prime is 105235534102241. The reversal of 105235534102220 is 22201435532501.

It is a super-2 number, since 2×105235534102220² (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 31 ways as a sum of consecutive naturals, for example, 4057026011 + ... + 4057051949.

It is an arithmetic number, because the mean of its divisors is an integer number (2319938712000).

Almost surely, 2^{105235534102220} is an apocalyptic number.

105235534102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105235534102220 is an abundant number, since it is smaller than the sum of its proper divisors (117478582249780).

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

105235534102220 is a wasteful number, since it uses less digits than its factorization.

105235534102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28599 (or 28597 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 105235534102220 its reverse (22201435532501), we get a palindrome (127436969634721).

The spelling of 105235534102220 in words is "one hundred five trillion, two hundred thirty-five billion, five hundred thirty-four million, one hundred two thousand, two hundred twenty".