67101012 has 72 divisors (see below), whose sum is σ = 191449440. Its totient is φ = 19629120.

The previous prime is 67100987. The next prime is 67101043. The reversal of 67101012 is 21010176.

It is a super-2 number, since 2×67101012² = 9005091622848288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 8563 + ... + 14405.

It is an arithmetic number, because the mean of its divisors is an integer number (2659020).

Almost surely, 2^67101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95724720).

67101012 is an abundant number, since it is smaller than the sum of its proper divisors (124348428).

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

67101012 is a wasteful number, since it uses less digits than its factorization.

67101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 67101012 is about 8191.5207379338. The cubic root of 67101012 is about 406.3588195429.

Adding to 67101012 its reverse (21010176), we get a palindrome (88111188).

The spelling of 67101012 in words is "sixty-seven million, one hundred one thousand, twelve".