61102896100 has 81 divisors (see below), whose sum is σ = 140046818331. Its totient is φ = 23136984000.

The previous prime is 61102896073. The next prime is 61102896109. The reversal of 61102896100 is 169820116.

The square root of 61102896100 is 247190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36781869796 + 24321026304 = 191786^2 + 155952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61102896109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46965450 + ... + 46966750.

Almost surely, 2^61102896100 is an apocalyptic number.

61102896100 is the 247190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61102896100

61102896100 is an abundant number, since it is smaller than the sum of its proper divisors (78943922231).

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

61102896100 is a wasteful number, since it uses less digits than its factorization.

61102896100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

Multiplying 61102896100 by its product of nonzero digits (5184), we get a square (316757413382400 = 17797680²).

The spelling of 61102896100 in words is "sixty-one billion, one hundred two million, eight hundred ninety-six thousand, one hundred".