61005051100 has 72 divisors (see below), whose sum is σ = 154147196448. Its totient is φ = 20521363200.

The previous prime is 61005051083. The next prime is 61005051101. The reversal of 61005051100 is 115050016.

It is a super-2 number, since 2×61005051100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005051101) 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 23 ways as a sum of consecutive naturals, for example, 785071 + ... + 859270.

It is an arithmetic number, because the mean of its divisors is an integer number (2140933284).

Almost surely, 2^61005051100 is an apocalyptic number.

It is an amenable number.

61005051100 is an abundant number, since it is smaller than the sum of its proper divisors (93142145348).

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

61005051100 is a wasteful number, since it uses less digits than its factorization.

61005051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644415 (or 1644408 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 61005051100 in words is "sixty-one billion, five million, fifty-one thousand, one hundred".