105636413294052 has 192 divisors, whose sum is σ = 284274734284800. Its totient is φ = 30332658216960.

The previous prime is 105636413294047. The next prime is 105636413294059. The reversal of 105636413294052 is 250492314636501.

It is a happy number.

It is a super-2 number, since 2×105636413294052² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 105636413293986 and 105636413294004.

It is not an unprimeable number, because it can be changed into a prime (105636413294059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8865099 + ... + 17025357.

It is an arithmetic number, because the mean of its divisors is an integer number (1480597574400).

Almost surely, 2^{105636413294052} is an apocalyptic number.

105636413294052 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 105636413294052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142137367142400).

105636413294052 is an abundant number, since it is smaller than the sum of its proper divisors (178638320990748).

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

105636413294052 is a wasteful number, since it uses less digits than its factorization.

105636413294052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160426 (or 8160424 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 105636413294052 in words is "one hundred five trillion, six hundred thirty-six billion, four hundred thirteen million, two hundred ninety-four thousand, fifty-two".