8140106144 has 48 divisors (see below), whose sum is σ = 16301476800. Its totient is φ = 4000550400.

The previous prime is 8140106131. The next prime is 8140106147. The reversal of 8140106144 is 4416010418.

It is a super-2 number, since 2×8140106144² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8140106147) 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 7 ways as a sum of consecutive naturals, for example, 520844 + ... + 536244.

It is an arithmetic number, because the mean of its divisors is an integer number (339614100).

Almost surely, 2^8140106144 is an apocalyptic number.

It is an amenable number.

8140106144 is an abundant number, since it is smaller than the sum of its proper divisors (8161370656).

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

8140106144 is a wasteful number, since it uses less digits than its factorization.

8140106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8140106144 is about 90222.5367854396. The cubic root of 8140106144 is about 2011.6080087225.

The spelling of 8140106144 in words is "eight billion, one hundred forty million, one hundred six thousand, one hundred forty-four".