105402011 has 24 divisors (see below), whose sum is σ = 128209872. Its totient is φ = 86011200.

The previous prime is 105402007. The next prime is 105402071. The reversal of 105402011 is 110204501.

It is not a de Polignac number, because 105402011 - 2² = 105402007 is a prime.

It is a super-2 number, since 2×105402011² = 22219167845688242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105402071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57296 + ... + 59106.

It is an arithmetic number, because the mean of its divisors is an integer number (5342078).

Almost surely, 2^105402011 is an apocalyptic number.

105402011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105402011 is a deficient number, since it is larger than the sum of its proper divisors (22807861).

105402011 is a wasteful number, since it uses less digits than its factorization.

105402011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105402011 is about 10266.5481540779. The cubic root of 105402011 is about 472.3707153541.

Adding to 105402011 its reverse (110204501), we get a palindrome (215606512).

The spelling of 105402011 in words is "one hundred five million, four hundred two thousand, eleven".