10077411100 has 72 divisors (see below), whose sum is σ = 22027965120. Its totient is φ = 4001598720.

The previous prime is 10077411059. The next prime is 10077411109. The reversal of 10077411100 is 111477001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077411109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13311922 + ... + 13312678.

It is an arithmetic number, because the mean of its divisors is an integer number (305943960).

Almost surely, 2^10077411100 is an apocalyptic number.

10077411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077411100 is an abundant number, since it is smaller than the sum of its proper divisors (11950554020).

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

10077411100 is a wasteful number, since it uses less digits than its factorization.

10077411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 22.

Adding to 10077411100 its reverse (111477001), we get a palindrome (10188888101).

The spelling of 10077411100 in words is "ten billion, seventy-seven million, four hundred eleven thousand, one hundred".