36105542000 has 80 divisors (see below), whose sum is σ = 95239913184. Its totient is φ = 13129280000.

The previous prime is 36105541961. The next prime is 36105542003. The reversal of 36105542000 is 24550163.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36105542000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36105542003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798581 + ... + 842580.

Almost surely, 2^36105542000 is an apocalyptic number.

It is an amenable number.

36105542000 is an abundant number, since it is smaller than the sum of its proper divisors (59134371184).

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

36105542000 is a wasteful number, since it uses less digits than its factorization.

36105542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641195 (or 1641179 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 36105542000 in words is "thirty-six billion, one hundred five million, five hundred forty-two thousand".