105151243232 has 192 divisors, whose sum is σ = 249674793984. Its totient is φ = 42620497920.

The previous prime is 105151243177. The next prime is 105151243237. The reversal of 105151243232 is 232342151501.

It is a super-2 number, since 2×105151243232² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105151243195 and 105151243204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105151243237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317677307 + ... + 317677637.

It is an arithmetic number, because the mean of its divisors is an integer number (1300389552).

Almost surely, 2^105151243232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105151243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124837396992).

105151243232 is an abundant number, since it is smaller than the sum of its proper divisors (144523550752).

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

105151243232 is a wasteful number, since it uses less digits than its factorization.

105151243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105151243232 its reverse (232342151501), we get a palindrome (337493394733).

The spelling of 105151243232 in words is "one hundred five billion, one hundred fifty-one million, two hundred forty-three thousand, two hundred thirty-two".