105436973 has 2 divisors, whose sum is σ = 105436974. Its totient is φ = 105436972.

The previous prime is 105436967. The next prime is 105436979. The reversal of 105436973 is 379634501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105436967) and next prime (105436979).

It can be written as a sum of positive squares in only one way, i.e., 69172489 + 36264484 = 8317^2 + 6022^2 .

It is a cyclic number.

It is not a de Polignac number, because 105436973 - 2⁴ = 105436957 is a prime.

It is a super-2 number, since 2×105436973² = 22233910550805458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105436979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52718486 + 52718487.

It is an arithmetic number, because the mean of its divisors is an integer number (52718487).

Almost surely, 2^105436973 is an apocalyptic number.

It is an amenable number.

105436973 is a deficient number, since it is larger than the sum of its proper divisors (1).

105436973 is an equidigital number, since it uses as much as digits as its factorization.

105436973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 105436973 is about 10268.2507273634. The cubic root of 105436973 is about 472.4229382643.

The spelling of 105436973 in words is "one hundred five million, four hundred thirty-six thousand, nine hundred seventy-three".