105536007 has 8 divisors (see below), whose sum is σ = 156349680. Its totient is φ = 70357320.

The previous prime is 105536003. The next prime is 105536047. The reversal of 105536007 is 700635501.

105536007 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 600 + 7 = 666.

It is not a de Polignac number, because 105536007 - 2² = 105536003 is a prime.

It is a super-2 number, since 2×105536007² = 22275697547008098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3908741 = 105536007 / (1 + 0 + 5 + 5 + 3 + 6 + 0 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954344 + ... + 1954397.

It is an arithmetic number, because the mean of its divisors is an integer number (19543710).

Almost surely, 2^105536007 is an apocalyptic number.

105536007 is a deficient number, since it is larger than the sum of its proper divisors (50813673).

105536007 is an equidigital number, since it uses as much as digits as its factorization.

105536007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908750 (or 3908744 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105536007 is about 10273.0719358914. The cubic root of 105536007 is about 472.5708031968.

The spelling of 105536007 in words is "one hundred five million, five hundred thirty-six thousand, seven".