106000162560 has 864 divisors, whose sum is σ = 410974881408. Its totient is φ = 25087180800.

The previous prime is 106000162553. The next prime is 106000162589. The reversal of 106000162560 is 65261000601.

It is a happy number.

106000162560 is a `hidden beast` number, since 1 + 0 + 600 + 0 + 1 + 6 + 2 + 56 + 0 = 666.

It is a super-2 number, since 2×106000162560² (a number of 23 digits) contains 22 as substring.

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, 454936204 + ... + 454936436.

It is an arithmetic number, because the mean of its divisors is an integer number (475665372).

Almost surely, 2^106000162560 is an apocalyptic number.

106000162560 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 106000162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205487440704).

106000162560 is an abundant number, since it is smaller than the sum of its proper divisors (304974718848).

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

106000162560 is a wasteful number, since it uses less digits than its factorization.

106000162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106000162560 in words is "one hundred six billion, one hundred sixty-two thousand, five hundred sixty".