105076764 has 180 divisors, whose sum is σ = 316202040. Its totient is φ = 30326400.

The previous prime is 105076753. The next prime is 105076771. The reversal of 105076764 is 467670501.

It is a super-2 number, since 2×105076764² = 22082252665423392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1040314 + ... + 1040414.

It is an arithmetic number, because the mean of its divisors is an integer number (1756678).

Almost surely, 2^105076764 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 105076764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158101020).

105076764 is an abundant number, since it is smaller than the sum of its proper divisors (211125276).

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

105076764 is a wasteful number, since it uses less digits than its factorization.

105076764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 105076764 is about 10250.6957812629. The cubic root of 105076764 is about 471.8843379817.

It can be divided in two parts, 10507 and 6764, that added together give a palindrome (17271).

The spelling of 105076764 in words is "one hundred five million, seventy-six thousand, seven hundred sixty-four".