105412535120 has 80 divisors (see below), whose sum is σ = 259561387008. Its totient is φ = 39675463680.

The previous prime is 105412535119. The next prime is 105412535149. The reversal of 105412535120 is 21535214501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105412535120² (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 15 ways as a sum of consecutive naturals, for example, 9502217 + ... + 9513303.

Almost surely, 2^105412535120 is an apocalyptic number.

105412535120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105412535120 is an abundant number, since it is smaller than the sum of its proper divisors (154148851888).

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

105412535120 is a wasteful number, since it uses less digits than its factorization.

105412535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18108 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 105412535120 its reverse (21535214501), we get a palindrome (126947749621).

The spelling of 105412535120 in words is "one hundred five billion, four hundred twelve million, five hundred thirty-five thousand, one hundred twenty".