106085701264 has 45 divisors (see below), whose sum is σ = 207752942761. Its totient is φ = 52478072960.

The previous prime is 106085701237. The next prime is 106085701321. The reversal of 106085701264 is 462107580601.

The square root of 106085701264 is 325708.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 278622864 + 105807078400 = 16692^2 + 325280^2 .

It is a super-2 number, since 2×106085701264² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139402644 + ... + 139403404.

Almost surely, 2^106085701264 is an apocalyptic number.

106085701264 is the 325708-th square number.

It is an amenable number.

106085701264 is a deficient number, since it is larger than the sum of its proper divisors (101667241497).

106085701264 is an frugal number, since it uses more digits than its factorization.

106085701264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 106085701264 in words is "one hundred six billion, eighty-five million, seven hundred one thousand, two hundred sixty-four".