107577004000 has 96 divisors (see below), whose sum is σ = 264471480000. Its totient is φ = 43005606400.

The previous prime is 107577003991. The next prime is 107577004021. The reversal of 107577004000 is 400775701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7789101 + ... + 7802899.

It is an arithmetic number, because the mean of its divisors is an integer number (2754911250).

Almost surely, 2^107577004000 is an apocalyptic number.

107577004000 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 107577004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132235740000).

107577004000 is an abundant number, since it is smaller than the sum of its proper divisors (156894476000).

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

107577004000 is a wasteful number, since it uses less digits than its factorization.

107577004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15755 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

Adding to 107577004000 its reverse (400775701), we get a palindrome (107977779701).

The spelling of 107577004000 in words is "one hundred seven billion, five hundred seventy-seven million, four thousand".