1006868276100 has 54 divisors (see below), whose sum is σ = 3155972677130. Its totient is φ = 268498206720.

The previous prime is 1006868276023. The next prime is 1006868276119. The reversal of 1006868276100 is 16728686001.

It is a happy number.

1006868276100 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 6 + 8 + 27 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 235618984836 + 771249291264 = 485406^2 + 878208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 559370365 + ... + 559372164.

Almost surely, 2^{1006868276100} is an apocalyptic number.

1006868276100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006868276100 is an abundant number, since it is smaller than the sum of its proper divisors (2149104401030).

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

1006868276100 is a wasteful number, since it uses less digits than its factorization.

1006868276100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118742549 (or 1118742539 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1006868276100 in words is "one trillion, six billion, eight hundred sixty-eight million, two hundred seventy-six thousand, one hundred".