61050006100 has 72 divisors (see below), whose sum is σ = 135483828480. Its totient is φ = 23867464320.

The previous prime is 61050006041. The next prime is 61050006119. The reversal of 61050006100 is 160005016.

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 23 ways as a sum of consecutive naturals, for example, 3549321 + ... + 3566479.

It is an arithmetic number, because the mean of its divisors is an integer number (1881719840).

Almost surely, 2^61050006100 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 61050006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67741914240).

61050006100 is an abundant number, since it is smaller than the sum of its proper divisors (74433822380).

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

61050006100 is a wasteful number, since it uses less digits than its factorization.

61050006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977 (or 17970 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 61050006100 in words is "sixty-one billion, fifty million, six thousand, one hundred".