105070964 has 12 divisors (see below), whose sum is σ = 184138500. Its totient is φ = 52459968.

The previous prime is 105070957. The next prime is 105070967. The reversal of 105070964 is 469070501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14668900 + 90402064 = 3830^2 + 9508^2 .

It is a super-2 number, since 2×105070964² = 22079814951778592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105070964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105070967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15689 + ... + 21360.

It is an arithmetic number, because the mean of its divisors is an integer number (15344875).

Almost surely, 2^105070964 is an apocalyptic number.

It is an amenable number.

105070964 is a deficient number, since it is larger than the sum of its proper divisors (79067536).

105070964 is a wasteful number, since it uses less digits than its factorization.

105070964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37762 (or 37760 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 105070964 is about 10250.4128697336. The cubic root of 105070964 is about 471.8756555054.

The spelling of 105070964 in words is "one hundred five million, seventy thousand, nine hundred sixty-four".