105142889 has 2 divisors, whose sum is σ = 105142890. Its totient is φ = 105142888.

The previous prime is 105142883. The next prime is 105142907. The reversal of 105142889 is 988241501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88209664 + 16933225 = 9392^2 + 4115^2 .

It is a cyclic number.

It is not a de Polignac number, because 105142889 - 2⁸ = 105142633 is a prime.

It is a super-2 number, since 2×105142889² = 22110054214532642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105142883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52571444 + 52571445.

It is an arithmetic number, because the mean of its divisors is an integer number (52571445).

Almost surely, 2^105142889 is an apocalyptic number.

It is an amenable number.

105142889 is a deficient number, since it is larger than the sum of its proper divisors (1).

105142889 is an equidigital number, since it uses as much as digits as its factorization.

105142889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 105142889 is about 10253.9206647994. The cubic root of 105142889 is about 471.9833031176.

The spelling of 105142889 in words is "one hundred five million, one hundred forty-two thousand, eight hundred eighty-nine".