105636135444 has 48 divisors (see below), whose sum is σ = 284431300608. Its totient is φ = 29888723808.

The previous prime is 105636135391. The next prime is 105636135467. The reversal of 105636135444 is 444531636501.

It is a happy number.

It is a super-2 number, since 2×105636135444² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105636135396 and 105636135405.

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, 6096072 + ... + 6113375.

It is an arithmetic number, because the mean of its divisors is an integer number (5925652096).

Almost surely, 2^105636135444 is an apocalyptic number.

105636135444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105636135444 is an abundant number, since it is smaller than the sum of its proper divisors (178795165164).

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

105636135444 is a wasteful number, since it uses less digits than its factorization.

105636135444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12209564 (or 12209562 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 105636135444 in words is "one hundred five billion, six hundred thirty-six million, one hundred thirty-five thousand, four hundred forty-four".