610105506060 has 96 divisors (see below), whose sum is σ = 1812498992640. Its totient is φ = 152809970688.

The previous prime is 610105506029. The next prime is 610105506067. The reversal of 610105506060 is 60605501016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (610105506067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117370 + ... + 1110849.

It is an arithmetic number, because the mean of its divisors is an integer number (18880197840).

Almost surely, 2^610105506060 is an apocalyptic number.

610105506060 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 610105506060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906249496320).

610105506060 is an abundant number, since it is smaller than the sum of its proper divisors (1202393486580).

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

610105506060 is a wasteful number, since it uses less digits than its factorization.

610105506060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228735 (or 1228733 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 610105506060 in words is "six hundred ten billion, one hundred five million, five hundred six thousand, sixty".