1047127670100 has 360 divisors, whose sum is σ = 3597808709880. Its totient is φ = 262533242880.

The previous prime is 1047127670093. The next prime is 1047127670123. The reversal of 1047127670100 is 10767217401.

1047127670100 is a `hidden beast` number, since 1 + 0 + 471 + 27 + 67 + 0 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 802049207184 + 245078462916 = 895572^2 + 495054^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152705872 + ... + 152712728.

It is an arithmetic number, because the mean of its divisors is an integer number (9993913083).

Almost surely, 2^{1047127670100} is an apocalyptic number.

1047127670100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047127670100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798904354940).

1047127670100 is an abundant number, since it is smaller than the sum of its proper divisors (2550681039780).

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

1047127670100 is a wasteful number, since it uses less digits than its factorization.

1047127670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 1047127670100 in words is "one trillion, forty-seven billion, one hundred twenty-seven million, six hundred seventy thousand, one hundred".