105276564 has 48 divisors (see below), whose sum is σ = 277032000. Its totient is φ = 34566048.

The previous prime is 105276559. The next prime is 105276571. The reversal of 105276564 is 465672501.

It is a happy number.

105276564 is a `hidden beast` number, since 10 + 527 + 65 + 64 = 666.

It is a super-2 number, since 2×105276564² = 22166309855292192, 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 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, 39 + ... + 14510.

It is an arithmetic number, because the mean of its divisors is an integer number (5771500).

Almost surely, 2^105276564 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 105276564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138516000).

105276564 is an abundant number, since it is smaller than the sum of its proper divisors (171755436).

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

105276564 is a wasteful number, since it uses less digits than its factorization.

105276564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14629 (or 14621 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 105276564 is about 10260.4368328059. The cubic root of 105276564 is about 472.1832394446.

The spelling of 105276564 in words is "one hundred five million, two hundred seventy-six thousand, five hundred sixty-four".