105523725960 has 192 divisors, whose sum is σ = 356807393280. Its totient is φ = 27017141760.

The previous prime is 105523725953. The next prime is 105523725997. The reversal of 105523725960 is 69527325501.

105523725960 is a `hidden beast` number, since 1 + 0 + 5 + 52 + 3 + 7 + 2 + 596 + 0 = 666.

It is a super-2 number, since 2×105523725960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380094 + ... + 1454546.

It is an arithmetic number, because the mean of its divisors is an integer number (1858371840).

Almost surely, 2^105523725960 is an apocalyptic number.

105523725960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105523725960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178403696640).

105523725960 is an abundant number, since it is smaller than the sum of its proper divisors (251283667320).

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

105523725960 is a wasteful number, since it uses less digits than its factorization.

105523725960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74628 (or 74621 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 105523725960 in words is "one hundred five billion, five hundred twenty-three million, seven hundred twenty-five thousand, nine hundred sixty".