105351043640 has 128 divisors (see below), whose sum is σ = 243142067520. Its totient is φ = 41074176000.

The previous prime is 105351043579. The next prime is 105351043643. The reversal of 105351043640 is 46340153501.

It is a super-2 number, since 2×105351043640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105351043597 and 105351043606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105351043643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72505154 + ... + 72506606.

Almost surely, 2^105351043640 is an apocalyptic number.

105351043640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105351043640 is an abundant number, since it is smaller than the sum of its proper divisors (137791023880).

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

105351043640 is a wasteful number, since it uses less digits than its factorization.

105351043640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 105351043640 in words is "one hundred five billion, three hundred fifty-one million, forty-three thousand, six hundred forty".