60005106 has 48 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 17142552.

The previous prime is 60005093. The next prime is 60005107. The reversal of 60005106 is 60150006.

It is a super-2 number, since 2×60005106² = 7201225492142472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (60005107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315 + ... + 11033.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2^60005106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60005106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

60005106 is an abundant number, since it is smaller than the sum of its proper divisors (91626894).

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

60005106 is a wasteful number, since it uses less digits than its factorization.

60005106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9748 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 60005106 is about 7746.2962762858. The cubic root of 60005106 is about 391.4978689764.

The spelling of 60005106 in words is "sixty million, five thousand, one hundred six".