106010000511056 has 20 divisors (see below), whose sum is σ = 207427983676404. Its totient is φ = 52480198272000.

The previous prime is 106010000511047. The next prime is 106010000511091. The reversal of 106010000511056 is 650115000010601.

It can be written as a sum of positive squares in 2 ways, for example, as 61572897985600 + 44437102525456 = 7846840^2 + 6666116^2 .

It is a super-2 number, since 2×106010000511056² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32800122305 + ... + 32800125536.

Almost surely, 2^{106010000511056} is an apocalyptic number.

106010000511056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106010000511056 is a deficient number, since it is larger than the sum of its proper divisors (101417983165348).

106010000511056 is a wasteful number, since it uses less digits than its factorization.

106010000511056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65600247950 (or 65600247944 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 106010000511056 its reverse (650115000010601), we get a palindrome (756125000521657).

The spelling of 106010000511056 in words is "one hundred six trillion, ten billion, five hundred eleven thousand, fifty-six".