105126963 has 8 divisors (see below), whose sum is σ = 148414608. Its totient is φ = 65961984.

The previous prime is 105126949. The next prime is 105126977. The reversal of 105126963 is 369621501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105126949) and next prime (105126977).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105126963 - 2¹³ = 105118771 is a prime.

It is a super-2 number, since 2×105126963² = 22103356699206738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105126913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030606 + ... + 1030707.

It is an arithmetic number, because the mean of its divisors is an integer number (18551826).

Almost surely, 2^105126963 is an apocalyptic number.

105126963 is a deficient number, since it is larger than the sum of its proper divisors (43287645).

105126963 is a wasteful number, since it uses less digits than its factorization.

105126963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061333.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 105126963 is about 10253.1440543864. The cubic root of 105126963 is about 471.9594714674.

The spelling of 105126963 in words is "one hundred five million, one hundred twenty-six thousand, nine hundred sixty-three".