61034543100 has 216 divisors, whose sum is σ = 197124258240. Its totient is φ = 15788613120.

The previous prime is 61034543077. The next prime is 61034543117. The reversal of 61034543100 is 134543016.

61034543100 is a `hidden beast` number, since 6 + 1 + 0 + 345 + 4 + 310 + 0 = 666.

It is a super-2 number, since 2×61034543100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 540128644 + ... + 540128756.

Almost surely, 2^61034543100 is an apocalyptic number.

61034543100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61034543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98562129120).

61034543100 is an abundant number, since it is smaller than the sum of its proper divisors (136089715140).

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

61034543100 is a wasteful number, since it uses less digits than its factorization.

61034543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 61034543100 in words is "sixty-one billion, thirty-four million, five hundred forty-three thousand, one hundred".