146102106304 has 168 divisors, whose sum is σ = 366402274560. Its totient is φ = 56578536960.

The previous prime is 146102106289. The next prime is 146102106307. The reversal of 146102106304 is 403601201641.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (146102106307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9044667 + ... + 9060805.

It is an arithmetic number, because the mean of its divisors is an integer number (2180965920).

Almost surely, 2^146102106304 is an apocalyptic number.

146102106304 is a gapful number since it is divisible by the number (14) 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 146102106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183201137280).

146102106304 is an abundant number, since it is smaller than the sum of its proper divisors (220300168256).

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

146102106304 is a wasteful number, since it uses less digits than its factorization.

146102106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 146102106304 its reverse (403601201641), we get a palindrome (549703307945).

The spelling of 146102106304 in words is "one hundred forty-six billion, one hundred two million, one hundred six thousand, three hundred four".