1047576377100 has 144 divisors (see below), whose sum is σ = 3323149804800. Its totient is φ = 252681580800.

The previous prime is 1047576377077. The next prime is 1047576377149. The reversal of 1047576377100 is 17736757401.

It is a super-2 number, since 2×1047576377100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1047576377100.

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 47 ways as a sum of consecutive naturals, for example, 140907 + ... + 1454306.

It is an arithmetic number, because the mean of its divisors is an integer number (23077429200).

Almost surely, 2^{1047576377100} is an apocalyptic number.

1047576377100 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 1047576377100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661574902400).

1047576377100 is an abundant number, since it is smaller than the sum of its proper divisors (2275573427700).

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

1047576377100 is a wasteful number, since it uses less digits than its factorization.

1047576377100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595440 (or 1595433 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 48.

The spelling of 1047576377100 in words is "one trillion, forty-seven billion, five hundred seventy-six million, three hundred seventy-seven thousand, one hundred".