36106145110242 has 24 divisors (see below), whose sum is σ = 78234053966640. Its totient is φ = 12034755104280.

The previous prime is 36106145110241. The next prime is 36106145110253. The reversal of 36106145110242 is 24201154160163.

36106145110242 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 61 + 451 + 102 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36106145110197 and 36106145110206.

It is not an unprimeable number, because it can be changed into a prime (36106145110241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51861192 + ... + 52552787.

It is an arithmetic number, because the mean of its divisors is an integer number (3259752248610).

Almost surely, 2^{36106145110242} is an apocalyptic number.

36106145110242 is an abundant number, since it is smaller than the sum of its proper divisors (42127908856398).

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

36106145110242 is a wasteful number, since it uses less digits than its factorization.

36106145110242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104433198 (or 104433195 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 36106145110242 in words is "thirty-six trillion, one hundred six billion, one hundred forty-five million, one hundred ten thousand, two hundred forty-two".