105232345251 has 8 divisors (see below), whose sum is σ = 153065229504. Its totient is φ = 63777178920.

The previous prime is 105232345199. The next prime is 105232345343. The reversal of 105232345251 is 152543232501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105232345251 - 2⁶ = 105232345187 is a prime.

It is a super-2 number, since 2×105232345251² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3188858947 = 105232345251 / (1 + 0 + 5 + 2 + 3 + 2 + 3 + 4 + 5 + 2 + 5 + 1).

It is not an unprimeable number, because it can be changed into a prime (105232345051) 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, 1594429441 + ... + 1594429506.

It is an arithmetic number, because the mean of its divisors is an integer number (19133153688).

Almost surely, 2^105232345251 is an apocalyptic number.

105232345251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105232345251 is a deficient number, since it is larger than the sum of its proper divisors (47832884253).

105232345251 is a wasteful number, since it uses less digits than its factorization.

105232345251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188858961.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 105232345251 its reverse (152543232501), we get a palindrome (257775577752).

The spelling of 105232345251 in words is "one hundred five billion, two hundred thirty-two million, three hundred forty-five thousand, two hundred fifty-one".