105878963 has 8 divisors (see below), whose sum is σ = 113022720. Its totient is φ = 98892360.

The previous prime is 105878957. The next prime is 105878977. The reversal of 105878963 is 369878501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105878963 - 2⁴ = 105878947 is a prime.

It is a super-2 number, since 2×105878963² = 22420709611910738, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105178963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37895 + ... + 40592.

It is an arithmetic number, because the mean of its divisors is an integer number (14127840).

Almost surely, 2^105878963 is an apocalyptic number.

105878963 is a deficient number, since it is larger than the sum of its proper divisors (7143757).

105878963 is an equidigital number, since it uses as much as digits as its factorization.

105878963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78577.

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 105878963 is about 10289.7503856994. The cubic root of 105878963 is about 473.0821476335.

The spelling of 105878963 in words is "one hundred five million, eight hundred seventy-eight thousand, nine hundred sixty-three".