610000106105 has 16 divisors (see below), whose sum is σ = 788537744400. Its totient is φ = 450330236928.

The previous prime is 610000106069. The next prime is 610000106137. The reversal of 610000106105 is 501601000016.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8849541184 + 601150564921 = 94072^2 + 775339^2 .

It is a de Polignac number, because none of the positive numbers 2^k-610000106105 is a prime.

It is a super-2 number, since 2×610000106105² (a number of 24 digits) contains 22 as substring.

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, 1143680 + ... + 1589969.

It is an arithmetic number, because the mean of its divisors is an integer number (49283609025).

Almost surely, 2^610000106105 is an apocalyptic number.

610000106105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

610000106105 is a deficient number, since it is larger than the sum of its proper divisors (178537638295).

610000106105 is a wasteful number, since it uses less digits than its factorization.

610000106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737100.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 610000106105 in words is "six hundred ten billion, one hundred six thousand, one hundred five".