105146097 has 16 divisors (see below), whose sum is σ = 163633152. Its totient is φ = 58804560.

The previous prime is 105146081. The next prime is 105146123. The reversal of 105146097 is 790641501.

It is not a de Polignac number, because 105146097 - 2⁴ = 105146081 is a prime.

It is a super-2 number, since 2×105146097² = 22111403428666818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105146297) 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, 52279 + ... + 54252.

It is an arithmetic number, because the mean of its divisors is an integer number (10227072).

Almost surely, 2^105146097 is an apocalyptic number.

It is an amenable number.

105146097 is a deficient number, since it is larger than the sum of its proper divisors (58487055).

105146097 is a wasteful number, since it uses less digits than its factorization.

105146097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106588.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105146097 is about 10254.0770915768. The cubic root of 105146097 is about 471.9881032743.

Adding to 105146097 its reverse (790641501), we get a palindrome (895787598).

The spelling of 105146097 in words is "one hundred five million, one hundred forty-six thousand, ninety-seven".