106116656520 has 128 divisors (see below), whose sum is σ = 369793117440. Its totient is φ = 23857597440.

The previous prime is 106116656519. The next prime is 106116656549. The reversal of 106116656520 is 25656611601.

It is a super-2 number, since 2×106116656520² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 984247 + ... + 1086726.

It is an arithmetic number, because the mean of its divisors is an integer number (2889008730).

Almost surely, 2^106116656520 is an apocalyptic number.

106116656520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106116656520 is an abundant number, since it is smaller than the sum of its proper divisors (263676460920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106116656520 is a wasteful number, since it uses less digits than its factorization.

106116656520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071055 (or 2071051 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 106116656520 in words is "one hundred six billion, one hundred sixteen million, six hundred fifty-six thousand, five hundred twenty".