105535234512 has 120 divisors (see below), whose sum is σ = 302365377288. Its totient is φ = 34352640000.

The previous prime is 105535234501. The next prime is 105535234517. The reversal of 105535234512 is 215432535501.

105535234512 is a `hidden beast` number, since 1 + 0 + 553 + 52 + 3 + 4 + 51 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53211416976 + 52323817536 = 230676^2 + 228744^2 .

It is a super-2 number, since 2×105535234512² (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 not an unprimeable number, because it can be changed into a prime (105535234517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012012 + ... + 1111412.

Almost surely, 2^105535234512 is an apocalyptic number.

105535234512 is a gapful number since it is divisible by the number (12) 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 105535234512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151182688644).

105535234512 is an abundant number, since it is smaller than the sum of its proper divisors (196830142776).

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

105535234512 is a wasteful number, since it uses less digits than its factorization.

105535234512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99589 (or 99580 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105535234512 in words is "one hundred five billion, five hundred thirty-five million, two hundred thirty-four thousand, five hundred twelve".