105152043120 has 80 divisors (see below), whose sum is σ = 326019288192. Its totient is φ = 28036419840.

The previous prime is 105152043097. The next prime is 105152043187. The reversal of 105152043120 is 21340251501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×105152043120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825155 + ... + 1881885.

Almost surely, 2^105152043120 is an apocalyptic number.

105152043120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105152043120 is an abundant number, since it is smaller than the sum of its proper divisors (220867245072).

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

105152043120 is a wasteful number, since it uses less digits than its factorization.

105152043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64470 (or 64464 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 105152043120 its reverse (21340251501), we get a palindrome (126492294621).

The spelling of 105152043120 in words is "one hundred five billion, one hundred fifty-two million, forty-three thousand, one hundred twenty".