610100006010 has 96 divisors (see below), whose sum is σ = 1609718322240. Its totient is φ = 147878734080.

The previous prime is 610100006003. The next prime is 610100006029. The reversal of 610100006010 is 10600001016.

It is a super-2 number, since 2×610100006010² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32874894 + ... + 32893446.

It is an arithmetic number, because the mean of its divisors is an integer number (16767899190).

Almost surely, 2^610100006010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610100006010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804859161120).

610100006010 is an abundant number, since it is smaller than the sum of its proper divisors (999618316230).

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

610100006010 is a wasteful number, since it uses less digits than its factorization.

610100006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27644 (or 27633 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 610100006010 its reverse (10600001016), we get a palindrome (620700007026).

The spelling of 610100006010 in words is "six hundred ten billion, one hundred million, six thousand, ten".