61729013100 has 36 divisors (see below), whose sum is σ = 178602612104. Its totient is φ = 16461070080.

The previous prime is 61729013077. The next prime is 61729013119. The reversal of 61729013100 is 131092716.

It is a super-2 number, since 2×61729013100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102881389 + ... + 102881988.

Almost surely, 2^61729013100 is an apocalyptic number.

61729013100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61729013100 is an abundant number, since it is smaller than the sum of its proper divisors (116873599004).

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

61729013100 is a wasteful number, since it uses less digits than its factorization.

61729013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205763394 (or 205763387 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 61729013100 in words is "sixty-one billion, seven hundred twenty-nine million, thirteen thousand, one hundred".