105142602049 has 9 divisors (see below), whose sum is σ = 106667697441. Its totient is φ = 103639022340.

The previous prime is 105142602023. The next prime is 105142602121. The reversal of 105142602049 is 940206241501.

The square root of 105142602049 is 324257.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 105142602049 - 2⁹ = 105142601537 is a prime.

It is a super-2 number, since 2×105142602049² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105142602349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23019964 + ... + 23024530.

Almost surely, 2^105142602049 is an apocalyptic number.

105142602049 is the 324257-th square number.

105142602049 is the 162129-th centered octagonal number.

It is an amenable number.

105142602049 is a deficient number, since it is larger than the sum of its proper divisors (1525095392).

105142602049 is an frugal number, since it uses more digits than its factorization.

105142602049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 105142602049 in words is "one hundred five billion, one hundred forty-two million, six hundred two thousand, forty-nine".