1020107006136 has 80 divisors (see below), whose sum is σ = 2857462340040. Its totient is φ = 340009704000.

The previous prime is 1020107006129. The next prime is 1020107006179. The reversal of 1020107006136 is 6316007010201.

1020107006136 is a `hidden beast` number, since 10 + 20 + 10 + 7 + 0 + 0 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9639511 + ... + 9744761.

Almost surely, 2^{1020107006136} is an apocalyptic number.

It is an amenable number.

1020107006136 is an abundant number, since it is smaller than the sum of its proper divisors (1837355333904).

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

1020107006136 is a wasteful number, since it uses less digits than its factorization.

1020107006136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120226 (or 120213 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 1020107006136 in words is "one trillion, twenty billion, one hundred seven million, six thousand, one hundred thirty-six".