67045013100 has 864 divisors, whose sum is σ = 256091734080. Its totient is φ = 14491975680.

The previous prime is 67045013069. The next prime is 67045013141. The reversal of 67045013100 is 131054076.

It is a super-2 number, since 2×67045013100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 427038222 + ... + 427038378.

It is an arithmetic number, because the mean of its divisors is an integer number (296402470).

Almost surely, 2^67045013100 is an apocalyptic number.

67045013100 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 67045013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128045867040).

67045013100 is an abundant number, since it is smaller than the sum of its proper divisors (189046720980).

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

67045013100 is a wasteful number, since it uses less digits than its factorization.

67045013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 67045013100 its reverse (131054076), we get a palindrome (67176067176).

The spelling of 67045013100 in words is "sixty-seven billion, forty-five million, thirteen thousand, one hundred".