10167010146 has 96 divisors (see below), whose sum is σ = 23136841728. Its totient is φ = 3223463040.

The previous prime is 10167010129. The next prime is 10167010177. The reversal of 10167010146 is 64101076101.

It is a super-3 number, since 3×10167010146³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6004476 + ... + 6006168.

It is an arithmetic number, because the mean of its divisors is an integer number (241008768).

Almost surely, 2^10167010146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10167010146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11568420864).

10167010146 is an abundant number, since it is smaller than the sum of its proper divisors (12969831582).

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

10167010146 is a wasteful number, since it uses less digits than its factorization.

10167010146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10167010146 its reverse (64101076101), we get a palindrome (74268086247).

The spelling of 10167010146 in words is "ten billion, one hundred sixty-seven million, ten thousand, one hundred forty-six".