105719745225 has 48 divisors (see below), whose sum is σ = 175772749824. Its totient is φ = 56067432000.

The previous prime is 105719745221. The next prime is 105719745269. The reversal of 105719745225 is 522547917501.

It is a happy number.

105719745225 is a nontrivial binomial coefficient, being equal to C(459826, 2).

It is not a de Polignac number, because 105719745225 - 2² = 105719745221 is a prime.

It is a super-2 number, since 2×105719745225² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105719745221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17240410 + ... + 17246540.

It is an arithmetic number, because the mean of its divisors is an integer number (3661932288).

Almost surely, 2^105719745225 is an apocalyptic number.

105719745225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105719745225 is the 459825-th triangular number and also the 229913-rd hexagonal number.

It is an amenable number.

105719745225 is a deficient number, since it is larger than the sum of its proper divisors (70053004599).

105719745225 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (105719745224) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (7398).

105719745225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7398 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 105719745225 in words is "one hundred five billion, seven hundred nineteen million, seven hundred forty-five thousand, two hundred twenty-five".