112540161006 has 192 divisors, whose sum is σ = 303082416000. Its totient is φ = 29388054528.

The previous prime is 112540160959. The next prime is 112540161101. The reversal of 112540161006 is 600161045211.

112540161006 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 40 + 1 + 610 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111535830 + ... + 111536838.

It is an arithmetic number, because the mean of its divisors is an integer number (1578554250).

Almost surely, 2^112540161006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112540161006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151541208000).

112540161006 is an abundant number, since it is smaller than the sum of its proper divisors (190542254994).

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

112540161006 is a wasteful number, since it uses less digits than its factorization.

112540161006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 112540161006 in words is "one hundred twelve billion, five hundred forty million, one hundred sixty-one thousand, six".