105012155311 has 32 divisors (see below), whose sum is σ = 125937745920. Its totient is φ = 85669768800.

The previous prime is 105012155293. The next prime is 105012155329. The reversal of 105012155311 is 113551210501.

It is an interprime number because it is at equal distance from previous prime (105012155293) and next prime (105012155329).

It is not a de Polignac number, because 105012155311 - 2⁹ = 105012154799 is a prime.

It is a super-2 number, since 2×105012155311² (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 (105012155341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6447400 + ... + 6463666.

It is an arithmetic number, because the mean of its divisors is an integer number (3935554560).

Almost surely, 2^105012155311 is an apocalyptic number.

105012155311 is a deficient number, since it is larger than the sum of its proper divisors (20925590609).

105012155311 is a wasteful number, since it uses less digits than its factorization.

105012155311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16795.

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 105012155311 its reverse (113551210501), we get a palindrome (218563365812).

The spelling of 105012155311 in words is "one hundred five billion, twelve million, one hundred fifty-five thousand, three hundred eleven".