105427252224 has 792 divisors, whose sum is σ = 387919404288. Its totient is φ = 27373731840.

The previous prime is 105427252201. The next prime is 105427252237. The reversal of 105427252224 is 422252724501.

105427252224 is a `hidden beast` number, since 1 + 0 + 5 + 42 + 72 + 522 + 24 = 666.

It is a super-2 number, since 2×105427252224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 237984547 + ... + 237984989.

Almost surely, 2^105427252224 is an apocalyptic number.

105427252224 is a gapful number since it is divisible by the number (14) 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 105427252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193959702144).

105427252224 is an abundant number, since it is smaller than the sum of its proper divisors (282492152064).

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

105427252224 is a wasteful number, since it uses less digits than its factorization.

105427252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 105427252224 its reverse (422252724501), we get a palindrome (527679976725).

The spelling of 105427252224 in words is "one hundred five billion, four hundred twenty-seven million, two hundred fifty-two thousand, two hundred twenty-four".