104040963 has 36 divisors (see below), whose sum is σ = 168015960. Its totient is φ = 63601200.

The previous prime is 104040953. The next prime is 104040973. The reversal of 104040963 is 369040401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (104040953) and next prime (104040973).

It is not a de Polignac number, because 104040963 - 2⁶ = 104040899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104040953) 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 35 ways as a sum of consecutive naturals, for example, 688938 + ... + 689088.

It is an arithmetic number, because the mean of its divisors is an integer number (4667110).

Almost surely, 2^104040963 is an apocalyptic number.

104040963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

104040963 is a deficient number, since it is larger than the sum of its proper divisors (63974997).

104040963 is an equidigital number, since it uses as much as digits as its factorization.

104040963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 104040963 is about 10200.0472057731. The cubic root of 104040963 is about 470.3286715697.

Multiplying 104040963 by its sum of digits (27), we get a square (2809106001 = 53001²).

104040963 divided by its sum of digits (27) gives a square (3853369 = 1963²).

The spelling of 104040963 in words is "one hundred four million, forty thousand, nine hundred sixty-three".