36141105 has 128 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 13224960.

The previous prime is 36141067. The next prime is 36141107. The reversal of 36141105 is 50114163.

It is not a de Polignac number, because 36141105 - 2⁶ = 36141041 is a prime.

It is a super-4 number, since 4×36141105⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (36141107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 435394 + ... + 435476.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^36141105 is an apocalyptic number.

36141105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36141105 is an abundant number, since it is smaller than the sum of its proper divisors (45144015).

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

36141105 is a wasteful number, since it uses less digits than its factorization.

36141105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 36141105 is about 6011.7472501761. The cubic root of 36141105 is about 330.6235684368.

Adding to 36141105 its reverse (50114163), we get a palindrome (86255268).

It can be divided in two parts, 36 and 141105, that added together give a palindrome (141141).

The spelling of 36141105 in words is "thirty-six million, one hundred forty-one thousand, one hundred five".