1006550552100 has 72 divisors (see below), whose sum is σ = 2913561659008. Its totient is φ = 268295932800.

The previous prime is 1006550552053. The next prime is 1006550552177. The reversal of 1006550552100 is 12550556001.

It is a super-3 number, since 3×1006550552100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 47431 + ... + 1419630.

Almost surely, 2^{1006550552100} is an apocalyptic number.

1006550552100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006550552100 is an abundant number, since it is smaller than the sum of its proper divisors (1907011106908).

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

1006550552100 is a wasteful number, since it uses less digits than its factorization.

1006550552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469365 (or 1469358 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 1006550552100 in words is "one trillion, six billion, five hundred fifty million, five hundred fifty-two thousand, one hundred".