10106160120 has 192 divisors, whose sum is σ = 38831832000. Its totient is φ = 2230308864.

The previous prime is 10106160109. The next prime is 10106160121. The reversal of 10106160120 is 2106160101.

10106160120 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 61 + 601 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10106160093 and 10106160102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106160121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3936 + ... + 142224.

It is an arithmetic number, because the mean of its divisors is an integer number (202249125).

Almost surely, 2^10106160120 is an apocalyptic number.

10106160120 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 10106160120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415916000).

10106160120 is an abundant number, since it is smaller than the sum of its proper divisors (28725671880).

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

10106160120 is a wasteful number, since it uses less digits than its factorization.

10106160120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138342 (or 138335 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10106160120 in words is "ten billion, one hundred six million, one hundred sixty thousand, one hundred twenty".