105142077 has 8 divisors (see below), whose sum is σ = 155766080. Its totient is φ = 70094700.

The previous prime is 105142073. The next prime is 105142099. The reversal of 105142077 is 770241501.

It is not a de Polignac number, because 105142077 - 2² = 105142073 is a prime.

It is a super-2 number, since 2×105142077² = 22109712711747858, 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: 3894151 = 105142077 / (1 + 0 + 5 + 1 + 4 + 2 + 0 + 7 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105142077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142073) 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, 1947049 + ... + 1947102.

It is an arithmetic number, because the mean of its divisors is an integer number (19470760).

Almost surely, 2^105142077 is an apocalyptic number.

It is an amenable number.

105142077 is a deficient number, since it is larger than the sum of its proper divisors (50624003).

105142077 is an equidigital number, since it uses as much as digits as its factorization.

105142077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894160 (or 3894154 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 105142077 is about 10253.8810701119. The cubic root of 105142077 is about 471.9820880998.

Adding to 105142077 its reverse (770241501), we get a palindrome (875383578).

The spelling of 105142077 in words is "one hundred five million, one hundred forty-two thousand, seventy-seven".