105156967 has 2 divisors, whose sum is σ = 105156968. Its totient is φ = 105156966.

The previous prime is 105156911. The next prime is 105157007. The reversal of 105156967 is 769651501.

It is an a-pointer prime, because the next prime (105157007) can be obtained adding 105156967 to its sum of digits (40).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105156967 - 2¹⁵ = 105124199 is a prime.

It is a super-2 number, since 2×105156967² = 22115975417278178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105156367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578483 + 52578484.

It is an arithmetic number, because the mean of its divisors is an integer number (52578484).

Almost surely, 2^105156967 is an apocalyptic number.

105156967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105156967 is an equidigital number, since it uses as much as digits as its factorization.

105156967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 105156967 is about 10254.6071109526. The cubic root of 105156967 is about 472.0043674187.

The spelling of 105156967 in words is "one hundred five million, one hundred fifty-six thousand, nine hundred sixty-seven".