61344534100 has 72 divisors (see below), whose sum is σ = 135444108800. Its totient is φ = 24109833600.

The previous prime is 61344533963. The next prime is 61344534101. The reversal of 61344534100 is 143544316.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61344534101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6333061 + ... + 6342739.

Almost surely, 2^61344534100 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 61344534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67722054400).

61344534100 is an abundant number, since it is smaller than the sum of its proper divisors (74099574700).

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

61344534100 is a wasteful number, since it uses less digits than its factorization.

61344534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 61344534100 in words is "sixty-one billion, three hundred forty-four million, five hundred thirty-four thousand, one hundred".