105135410 has 16 divisors (see below), whose sum is σ = 189414936. Its totient is φ = 42016128.

The previous prime is 105135409. The next prime is 105135427. The reversal of 105135410 is 14531501.

It can be written as a sum of positive squares in 4 ways, for example, as 76545001 + 28590409 = 8749^2 + 5347^2 .

It is a super-2 number, since 2×105135410² = 22106908871736200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8654 + ... + 16886.

Almost surely, 2^105135410 is an apocalyptic number.

105135410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105135410 is a deficient number, since it is larger than the sum of its proper divisors (84279526).

105135410 is a wasteful number, since it uses less digits than its factorization.

105135410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105135410 is about 10253.5559685409. Note that the first 3 decimals coincide. The cubic root of 105135410 is about 471.9721118493.

Adding to 105135410 its reverse (14531501), we get a palindrome (119666911).

The spelling of 105135410 in words is "one hundred five million, one hundred thirty-five thousand, four hundred ten".