105536403612 has 72 divisors (see below), whose sum is σ = 273041600832. Its totient is φ = 34355376000.

The previous prime is 105536403611. The next prime is 105536403649. The reversal of 105536403612 is 216304635501.

105536403612 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 640 + 3 + 6 + 1 + 2 = 666.

It is a super-2 number, since 2×105536403612² (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 (105536403611) 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, 712362 + ... + 847662.

It is an arithmetic number, because the mean of its divisors is an integer number (3792244456).

Almost surely, 2^105536403612 is an apocalyptic number.

105536403612 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 105536403612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136520800416).

105536403612 is an abundant number, since it is smaller than the sum of its proper divisors (167505197220).

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

105536403612 is a wasteful number, since it uses less digits than its factorization.

105536403612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135819 (or 135814 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105536403612 in words is "one hundred five billion, five hundred thirty-six million, four hundred three thousand, six hundred twelve".