105011232234051 has 64 divisors (see below), whose sum is σ = 164828231479296. Its totient is φ = 58627938969600.

The previous prime is 105011232233893. The next prime is 105011232234067. The reversal of 105011232234051 is 150432232110501.

It is a happy number.

It is not a de Polignac number, because 105011232234051 - 2²¹ = 105011230136899 is a prime.

It is a super-2 number, since 2×105011232234051² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011232224051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646034350 + ... + 646196876.

It is an arithmetic number, because the mean of its divisors is an integer number (2575441116864).

Almost surely, 2^{105011232234051} is an apocalyptic number.

105011232234051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105011232234051 is a deficient number, since it is larger than the sum of its proper divisors (59816999245245).

105011232234051 is a wasteful number, since it uses less digits than its factorization.

105011232234051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165612.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 105011232234051 its reverse (150432232110501), we get a palindrome (255443464344552).

The spelling of 105011232234051 in words is "one hundred five trillion, eleven billion, two hundred thirty-two million, two hundred thirty-four thousand, fifty-one".