105106616656 has 40 divisors (see below), whose sum is σ = 208782340200. Its totient is φ = 51229409280.

The previous prime is 105106616627. The next prime is 105106616687. The reversal of 105106616656 is 656616601501.

It can be written as a sum of positive squares in 4 ways, for example, as 10217975056 + 94888641600 = 101084^2 + 308040^2 .

It is a super-2 number, since 2×105106616656² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741040 + ... + 871408.

It is an arithmetic number, because the mean of its divisors is an integer number (5219558505).

Almost surely, 2^105106616656 is an apocalyptic number.

105106616656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105106616656 is a deficient number, since it is larger than the sum of its proper divisors (103675723544).

105106616656 is a wasteful number, since it uses less digits than its factorization.

105106616656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131647 (or 131641 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 105106616656 in words is "one hundred five billion, one hundred six million, six hundred sixteen thousand, six hundred fifty-six".