73109318100 has 1152 divisors, whose sum is σ = 287448268800. Its totient is φ = 14224896000.

The previous prime is 73109318099. The next prime is 73109318111. The reversal of 73109318100 is 181390137.

It is a super-2 number, since 2×73109318100² (a number of 23 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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1700216679 + ... + 1700216721.

Almost surely, 2^73109318100 is an apocalyptic number.

73109318100 is a gapful number since it is divisible by the number (70) 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 73109318100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143724134400).

73109318100 is an abundant number, since it is smaller than the sum of its proper divisors (214338950700).

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

73109318100 is a wasteful number, since it uses less digits than its factorization.

73109318100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 73109318100 in words is "seventy-three billion, one hundred nine million, three hundred eighteen thousand, one hundred".