105275972 has 6 divisors (see below), whose sum is σ = 184232958. Its totient is φ = 52637984.

The previous prime is 105275971. The next prime is 105275977. The reversal of 105275972 is 279572501.

It can be written as a sum of positive squares in only one way, i.e., 67502656 + 37773316 = 8216^2 + 6146^2 .

It is a super-2 number, since 2×105275972² = 22166060561089568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105275971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13159493 + ... + 13159500.

It is an arithmetic number, because the mean of its divisors is an integer number (30705493).

Almost surely, 2^105275972 is an apocalyptic number.

It is an amenable number.

105275972 is a deficient number, since it is larger than the sum of its proper divisors (78956986).

105275972 is a wasteful number, since it uses less digits than its factorization.

105275972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26318997 (or 26318995 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 105275972 is about 10260.4079840911. The cubic root of 105275972 is about 472.1823543694.

The spelling of 105275972 in words is "one hundred five million, two hundred seventy-five thousand, nine hundred seventy-two".