105097755 has 16 divisors (see below), whose sum is σ = 192178944. Its totient is φ = 48044640.

The previous prime is 105097753. The next prime is 105097771. The reversal of 105097755 is 557790501.

It is not a de Polignac number, because 105097755 - 2¹ = 105097753 is a prime.

It is a super-2 number, since 2×105097755² = 22091076212080050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105097753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500361 + ... + 500570.

It is an arithmetic number, because the mean of its divisors is an integer number (12011184).

Almost surely, 2^105097755 is an apocalyptic number.

105097755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105097755 is a deficient number, since it is larger than the sum of its proper divisors (87081189).

105097755 is a wasteful number, since it uses less digits than its factorization.

105097755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000946.

The product of its (nonzero) digits is 55125, while the sum is 39.

The square root of 105097755 is about 10251.7196118505. The cubic root of 105097755 is about 471.9157583904.

The spelling of 105097755 in words is "one hundred five million, ninety-seven thousand, seven hundred fifty-five".