105000511 has 16 divisors (see below), whose sum is σ = 131171328. Its totient is φ = 81655200.

The previous prime is 105000481. The next prime is 105000523. The reversal of 105000511 is 115000501.

It is not a de Polignac number, because 105000511 - 2¹⁵ = 104967743 is a prime.

It is a super-2 number, since 2×105000511² = 22050214620522242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105000491 and 105000500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49866 + ... + 51928.

It is an arithmetic number, because the mean of its divisors is an integer number (8198208).

Almost surely, 2^105000511 is an apocalyptic number.

105000511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105000511 is a deficient number, since it is larger than the sum of its proper divisors (26170817).

105000511 is a wasteful number, since it uses less digits than its factorization.

105000511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 105000511 is about 10246.9757001761. The cubic root of 105000511 is about 471.7701633452.

The spelling of 105000511 in words is "one hundred five million, five hundred eleven", and thus it is an aban number.