105507135 has 12 divisors (see below), whose sum is σ = 182879112. Its totient is φ = 56270448.

The previous prime is 105507131. The next prime is 105507139. The reversal of 105507135 is 531705501.

105507135 is a `hidden beast` number, since 10 + 550 + 71 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (105507131) and next prime (105507139).

It is not a de Polignac number, because 105507135 - 2² = 105507131 is a prime.

It is a super-2 number, since 2×105507135² = 22263511071816450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105507099 and 105507108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105507131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1172257 + ... + 1172346.

It is an arithmetic number, because the mean of its divisors is an integer number (15239926).

Almost surely, 2^105507135 is an apocalyptic number.

105507135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105507135 is a deficient number, since it is larger than the sum of its proper divisors (77371977).

105507135 is a wasteful number, since it uses less digits than its factorization.

105507135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344614 (or 2344611 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 105507135 is about 10271.6666125805. Note that the first 4 decimals coincide. The cubic root of 105507135 is about 472.5277047667.

The spelling of 105507135 in words is "one hundred five million, five hundred seven thousand, one hundred thirty-five".