105345250010 has 64 divisors (see below), whose sum is σ = 254596656384. Its totient is φ = 30309120000.

The previous prime is 105345249967. The next prime is 105345250033. The reversal of 105345250010 is 10052543501.

It is a super-2 number, since 2×105345250010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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, 5251991 + ... + 5272010.

It is an arithmetic number, because the mean of its divisors is an integer number (3978072756).

Almost surely, 2^105345250010 is an apocalyptic number.

105345250010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105345250010 is an abundant number, since it is smaller than the sum of its proper divisors (149251406374).

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

105345250010 is a wasteful number, since it uses less digits than its factorization.

105345250010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524039.

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 105345250010 its reverse (10052543501), we get a palindrome (115397793511).

The spelling of 105345250010 in words is "one hundred five billion, three hundred forty-five million, two hundred fifty thousand, ten".