105140144520 has 96 divisors (see below), whose sum is σ = 349652160000. Its totient is φ = 27385335936.

The previous prime is 105140144509. The next prime is 105140144531. The reversal of 105140144520 is 25441041501.

105140144520 is a `hidden beast` number, since 1 + 0 + 514 + 0 + 144 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105140144509) and next prime (105140144531).

It is a super-2 number, since 2×105140144520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3380520 + ... + 3411479.

It is an arithmetic number, because the mean of its divisors is an integer number (3642210000).

Almost surely, 2^105140144520 is an apocalyptic number.

105140144520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105140144520 is an abundant number, since it is smaller than the sum of its proper divisors (244512015480).

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

105140144520 is a wasteful number, since it uses less digits than its factorization.

105140144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792059 (or 6792052 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 105140144520 in words is "one hundred five billion, one hundred forty million, one hundred forty-four thousand, five hundred twenty".