1077581101 has 16 divisors (see below), whose sum is σ = 1126719360. Its totient is φ = 1029309120.

The previous prime is 1077581083. The next prime is 1077581123. The reversal of 1077581101 is 1011857701.

It is a cyclic number.

It is not a de Polignac number, because 1077581101 - 2⁹ = 1077580589 is a prime.

It is a super-2 number, since 2×1077581101² = 2322362058464744402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077581191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469731 + ... + 1470463.

It is an arithmetic number, because the mean of its divisors is an integer number (70419960).

Almost surely, 2^1077581101 is an apocalyptic number.

It is an amenable number.

1077581101 is a deficient number, since it is larger than the sum of its proper divisors (49138259).

1077581101 is a wasteful number, since it uses less digits than its factorization.

1077581101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 1960, while the sum is 31.

The square root of 1077581101 is about 32826.5304441392. The cubic root of 1077581101 is about 1025.2190215286.

The spelling of 1077581101 in words is "one billion, seventy-seven million, five hundred eighty-one thousand, one hundred one".