106014714120 has 192 divisors, whose sum is σ = 394735536000. Its totient is φ = 24172452864.

The previous prime is 106014714089. The next prime is 106014714133. The reversal of 106014714120 is 21417410601.

106014714120 is a `hidden beast` number, since 1 + 0 + 601 + 47 + 1 + 4 + 12 + 0 = 666.

It is a super-2 number, since 2×106014714120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979251 + ... + 1082109.

It is an arithmetic number, because the mean of its divisors is an integer number (2055914250).

Almost surely, 2^106014714120 is an apocalyptic number.

106014714120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106014714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197367768000).

106014714120 is an abundant number, since it is smaller than the sum of its proper divisors (288720821880).

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

106014714120 is a wasteful number, since it uses less digits than its factorization.

106014714120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103292 (or 103285 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 106014714120 in words is "one hundred six billion, fourteen million, seven hundred fourteen thousand, one hundred twenty".