61005610500100 has 72 divisors (see below), whose sum is σ = 151350308529728. Its totient is φ = 20908412841600.

The previous prime is 61005610500041. The next prime is 61005610500101. The reversal of 61005610500100 is 100501650016.

It is a super-2 number, since 2×61005610500100² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61005610500101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14363211 + ... + 18119410.

Almost surely, 2^{61005610500100} is an apocalyptic number.

It is an amenable number.

61005610500100 is an abundant number, since it is smaller than the sum of its proper divisors (90344698029628).

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

61005610500100 is a wasteful number, since it uses less digits than its factorization.

61005610500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32485325 (or 32485318 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 61005610500100 in words is "sixty-one trillion, five billion, six hundred ten million, five hundred thousand, one hundred".