101146144 has 24 divisors (see below), whose sum is σ = 217235088. Its totient is φ = 45975360.

The previous prime is 101146127. The next prime is 101146163. The reversal of 101146144 is 441641101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143322 + ... + 144025.

It is an arithmetic number, because the mean of its divisors is an integer number (9051462).

Almost surely, 2^101146144 is an apocalyptic number.

It is an amenable number.

101146144 is an abundant number, since it is smaller than the sum of its proper divisors (116088944).

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

101146144 is a wasteful number, since it uses less digits than its factorization.

101146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287368 (or 287360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 101146144 is about 10057.1439285714. The cubic root of 101146144 is about 465.9254610097.

Adding to 101146144 its reverse (441641101), we get a palindrome (542787245).

The spelling of 101146144 in words is "one hundred one million, one hundred forty-six thousand, one hundred forty-four".