61105061060100 has 108 divisors (see below), whose sum is σ = 191539493576704. Its totient is φ = 16293910933440.

The previous prime is 61105061060053. The next prime is 61105061060101. The reversal of 61105061060100 is 106016050116.

61105061060100 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 50 + 6 + 1 + 0 + 601 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61105061060101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17524557 + ... + 20720043.

Almost surely, 2^{61105061060100} is an apocalyptic number.

61105061060100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61105061060100 is an abundant number, since it is smaller than the sum of its proper divisors (130434432516604).

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

61105061060100 is a wasteful number, since it uses less digits than its factorization.

61105061060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216754 (or 3216744 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 61105061060100 in words is "sixty-one trillion, one hundred five billion, sixty-one million, sixty thousand, one hundred".