105611051101026 has 192 divisors, whose sum is σ = 223362555696000. Its totient is φ = 33245581565952.

The previous prime is 105611051101021. The next prime is 105611051101081. The reversal of 105611051101026 is 620101150116501.

105611051101026 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105611051101026² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105611051100984 and 105611051101002.

It is not an unprimeable number, because it can be changed into a prime (105611051101021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172285564296 + ... + 172285564908.

It is an arithmetic number, because the mean of its divisors is an integer number (1163346644250).

Almost surely, 2^{105611051101026} is an apocalyptic number.

105611051101026 is an abundant number, since it is smaller than the sum of its proper divisors (117751504594974).

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

105611051101026 is a wasteful number, since it uses less digits than its factorization.

105611051101026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 30.

The spelling of 105611051101026 in words is "one hundred five trillion, six hundred eleven billion, fifty-one million, one hundred one thousand, twenty-six".