105136 has 10 divisors (see below), whose sum is σ = 203732. Its totient is φ = 52560.

The previous prime is 105107. The next prime is 105137. The reversal of 105136 is 631501.

It is a super-2 number, since 2×105136² = 22107156992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 6571 = 105136 / (1 + 0 + 5 + 1 + 3 + 6).

It is not an unprimeable number, because it can be changed into a prime (105137) by changing a digit.

105136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3270 + ... + 3301.

2¹⁰⁵¹³⁶ is an apocalyptic number.

105136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105136 is a deficient number, since it is larger than the sum of its proper divisors (98596).

105136 is an equidigital number, since it uses as much as digits as its factorization.

105136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6579 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105136 is about 324.2468195681. The cubic root of 105136 is about 47.1972994720.

Adding to 105136 its reverse (631501), we get a palindrome (736637).

It can be divided in two parts, 10 and 5136, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 105136 in words is "one hundred five thousand, one hundred thirty-six".