105523461414 has 48 divisors (see below), whose sum is σ = 261575347488. Its totient is φ = 30117350016.

The previous prime is 105523461377. The next prime is 105523461443. The reversal of 105523461414 is 414164325501.

105523461414 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 34 + 614 + 1 + 4 = 666.

It is a super-2 number, since 2×105523461414² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328837 + ... + 564960.

It is an arithmetic number, because the mean of its divisors is an integer number (5449486406).

Almost surely, 2^105523461414 is an apocalyptic number.

105523461414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105523461414 is an abundant number, since it is smaller than the sum of its proper divisors (156051886074).

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

105523461414 is a wasteful number, since it uses less digits than its factorization.

105523461414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894749 (or 894746 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 105523461414 its reverse (414164325501), we get a palindrome (519687786915).

The spelling of 105523461414 in words is "one hundred five billion, five hundred twenty-three million, four hundred sixty-one thousand, four hundred fourteen".