105763104 has 96 divisors (see below), whose sum is σ = 310746240. Its totient is φ = 34995456.

The previous prime is 105763093. The next prime is 105763121. The reversal of 105763104 is 401367501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105763104² = 22371668335429632, which contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143922 + ... + 144654.

It is an arithmetic number, because the mean of its divisors is an integer number (3236940).

Almost surely, 2^105763104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105763104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155373120).

105763104 is an abundant number, since it is smaller than the sum of its proper divisors (204983136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105763104 is a wasteful number, since it uses less digits than its factorization.

105763104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105763104 is about 10284.1190191479. The cubic root of 105763104 is about 472.9095265337.

The spelling of 105763104 in words is "one hundred five million, seven hundred sixty-three thousand, one hundred four".