105463764 has 72 divisors (see below), whose sum is σ = 312935168. Its totient is φ = 29315520.

The previous prime is 105463759. The next prime is 105463781. The reversal of 105463764 is 467364501.

It is a happy number.

105463764 is a `hidden beast` number, since 10 + 5 + 4 + 637 + 6 + 4 = 666.

It is a super-2 number, since 2×105463764² = 22245211034095392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3669 + ... + 14979.

Almost surely, 2^105463764 is an apocalyptic number.

105463764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105463764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156467584).

105463764 is an abundant number, since it is smaller than the sum of its proper divisors (207471404).

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

105463764 is a wasteful number, since it uses less digits than its factorization.

105463764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365 (or 11360 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 105463764 is about 10269.5551997153. Note that the first 3 decimals coincide. The cubic root of 105463764 is about 472.4629482998.

The spelling of 105463764 in words is "one hundred five million, four hundred sixty-three thousand, seven hundred sixty-four".