60106000 has 80 divisors (see below), whose sum is σ = 149084208. Its totient is φ = 23424000.

The previous prime is 60105977. The next prime is 60106031. The reversal of 60106000 is 60106.

It can be written as a sum of positive squares in 8 ways, for example, as 17438976 + 42667024 = 4176^2 + 6532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×60106000² = 7225462472000000, which 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 15 ways as a sum of consecutive naturals, for example, 81634 + ... + 82366.

Almost surely, 2^60106000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74542104).

60106000 is an abundant number, since it is smaller than the sum of its proper divisors (88978208).

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

60106000 is a wasteful number, since it uses less digits than its factorization.

60106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 60106000 is about 7752.8059436568. The cubic root of 60106000 is about 391.7171706918.

Adding to 60106000 its reverse (60106), we get a palindrome (60166106).

60106000 divided by its reverse (60106) gives a cube (1000 = 10³).

The spelling of 60106000 in words is "sixty million, one hundred six thousand".