106682122120 has 64 divisors (see below), whose sum is σ = 276142291200. Its totient is φ = 36334483200.

The previous prime is 106682122091. The next prime is 106682122121. The reversal of 106682122120 is 21221286601.

It is a super-2 number, since 2×106682122120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106682122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219335 + ... + 1303894.

It is an arithmetic number, because the mean of its divisors is an integer number (4314723300).

Almost surely, 2^106682122120 is an apocalyptic number.

106682122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106682122120 is an abundant number, since it is smaller than the sum of its proper divisors (169460169080).

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

106682122120 is a wasteful number, since it uses less digits than its factorization.

106682122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523398 (or 2523394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 106682122120 in words is "one hundred six billion, six hundred eighty-two million, one hundred twenty-two thousand, one hundred twenty".