105427492416 has 189 divisors, whose sum is σ = 307761604059. Its totient is φ = 34506093312.

The previous prime is 105427492411. The next prime is 105427492501. The reversal of 105427492416 is 614294724501.

The square root of 105427492416 is 324696.

It is a perfect power (a square), and thus also a powerful number.

105427492416 is a `hidden beast` number, since 1 + 0 + 542 + 7 + 4 + 92 + 4 + 16 = 666.

It is a super-2 number, since 2×105427492416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105427492411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 646794351 + ... + 646794513.

Almost surely, 2^105427492416 is an apocalyptic number.

105427492416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105427492416 is the 324696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105427492416

105427492416 is an abundant number, since it is smaller than the sum of its proper divisors (202334111643).

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

105427492416 is an frugal number, since it uses more digits than its factorization.

105427492416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105427492416 in words is "one hundred five billion, four hundred twenty-seven million, four hundred ninety-two thousand, four hundred sixteen".