60105412200 has 384 divisors, whose sum is σ = 196857936000. Its totient is φ = 15153868800.

The previous prime is 60105412181. The next prime is 60105412229. The reversal of 60105412200 is 221450106.

It is a super-2 number, since 2×60105412200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142767990 + ... + 142768410.

It is an arithmetic number, because the mean of its divisors is an integer number (512650875).

Almost surely, 2^60105412200 is an apocalyptic number.

60105412200 is a gapful number since it is divisible by the number (60) 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 60105412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98428968000).

60105412200 is an abundant number, since it is smaller than the sum of its proper divisors (136752523800).

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

60105412200 is a wasteful number, since it uses less digits than its factorization.

60105412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 60105412200 its reverse (221450106), we get a palindrome (60326862306).

The spelling of 60105412200 in words is "sixty billion, one hundred five million, four hundred twelve thousand, two hundred".