1006940118900 has 72 divisors (see below), whose sum is σ = 3084790685760. Its totient is φ = 252722224640.

The previous prime is 1006940118727. The next prime is 1006940118901. The reversal of 1006940118900 is 98110496001.

It is a super-2 number, since 2×1006940118900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006940118901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98714520 + ... + 98724719.

It is an arithmetic number, because the mean of its divisors is an integer number (42844315080).

Almost surely, 2^{1006940118900} is an apocalyptic number.

1006940118900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006940118900 is an abundant number, since it is smaller than the sum of its proper divisors (2077850566860).

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

1006940118900 is a wasteful number, since it uses less digits than its factorization.

1006940118900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197439273 (or 197439266 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 1006940118900 in words is "one trillion, six billion, nine hundred forty million, one hundred eighteen thousand, nine hundred".