61000106046 has 64 divisors (see below), whose sum is σ = 134673566976. Its totient is φ = 18265824000.

The previous prime is 61000106023. The next prime is 61000106051. The reversal of 61000106046 is 64060100016.

It is a Curzon number.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 3477570 + ... + 3495066.

It is an arithmetic number, because the mean of its divisors is an integer number (2104274484).

Almost surely, 2^61000106046 is an apocalyptic number.

61000106046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61000106046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67336783488).

61000106046 is an abundant number, since it is smaller than the sum of its proper divisors (73673460930).

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

61000106046 is a wasteful number, since it uses less digits than its factorization.

61000106046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18137.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 61000106046 in words is "sixty-one billion, one hundred six thousand, forty-six".