61013940100 has 81 divisors (see below), whose sum is σ = 140743496397. Its totient is φ = 22954145280.

The previous prime is 61013940061. The next prime is 61013940109. The reversal of 61013940100 is 104931016.

The square root of 61013940100 is 247010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 988036 + 61012952064 = 994^2 + 247008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61013940109) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 41990974 + ... + 41992426.

Almost surely, 2^61013940100 is an apocalyptic number.

61013940100 is the 247010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61013940100

61013940100 is an abundant number, since it is smaller than the sum of its proper divisors (79729556297).

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

61013940100 is a wasteful number, since it uses less digits than its factorization.

61013940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Multiplying 61013940100 by its sum of digits (25), we get a square (1525348502500 = 1235050²).

61013940100 divided by its sum of digits (25) gives a square (2440557604 = 49402²).

The spelling of 61013940100 in words is "sixty-one billion, thirteen million, nine hundred forty thousand, one hundred".