105153967 has 2 divisors, whose sum is σ = 105153968. Its totient is φ = 105153966.

The previous prime is 105153949. The next prime is 105153991. The reversal of 105153967 is 769351501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105153967 - 2²³ = 96765359 is a prime.

It is a super-2 number, since 2×105153967² = 22114713551674178, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105151967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52576983 + 52576984.

It is an arithmetic number, because the mean of its divisors is an integer number (52576984).

Almost surely, 2^105153967 is an apocalyptic number.

105153967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105153967 is an equidigital number, since it uses as much as digits as its factorization.

105153967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 105153967 is about 10254.4608341931. The cubic root of 105153967 is about 471.9998788063. Note that the first 3 decimals are identical.

The spelling of 105153967 in words is "one hundred five million, one hundred fifty-three thousand, nine hundred sixty-seven".