1000110157 has 2 divisors, whose sum is σ = 1000110158. Its totient is φ = 1000110156.

The previous prime is 1000110149. The next prime is 1000110169. The reversal of 1000110157 is 7510110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998180836 + 1929321 = 31594^2 + 1389^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000110157 - 2³ = 1000110149 is a prime.

It is a super-2 number, since 2×1000110157² = 2000440652269129298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000110157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000110197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055078 + 500055079.

It is an arithmetic number, because the mean of its divisors is an integer number (500055079).

Almost surely, 2^1000110157 is an apocalyptic number.

It is an amenable number.

1000110157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110157 is an equidigital number, since it uses as much as digits as its factorization.

1000110157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 16.

The square root of 1000110157 is about 31624.5182888214. The cubic root of 1000110157 is about 1000.0367176518.

Adding to 1000110157 its reverse (7510110001), we get a palindrome (8510220158).

The spelling of 1000110157 in words is "one billion, one hundred ten thousand, one hundred fifty-seven".