60106800 has 120 divisors (see below), whose sum is σ = 207406864. Its totient is φ = 14791680.

The previous prime is 60106771. The next prime is 60106801. The reversal of 60106800 is 860106.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×60106800² = 7225654812480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60106801) 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, 13674 + ... + 17526.

Almost surely, 2^60106800 is an apocalyptic number.

60106800 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 60106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103703432).

60106800 is an abundant number, since it is smaller than the sum of its proper divisors (147300064).

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

60106800 is a wasteful number, since it uses less digits than its factorization.

60106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 60106800 is about 7752.8575377083. The cubic root of 60106800 is about 391.7189085790.

Adding to 60106800 its reverse (860106), we get a palindrome (60966906).

It can be divided in two parts, 60106 and 800, that added together give a palindrome (60906).

The spelling of 60106800 in words is "sixty million, one hundred six thousand, eight hundred".