104777140 has 48 divisors (see below), whose sum is σ = 242761680. Its totient is φ = 37739520.

The previous prime is 104777083. The next prime is 104777143. The reversal of 104777140 is 41777401.

It can be written as a sum of positive squares in 8 ways, for example, as 9597604 + 95179536 = 3098^2 + 9756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104777143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5746 + ... + 15574.

It is an arithmetic number, because the mean of its divisors is an integer number (5057535).

Almost surely, 2^104777140 is an apocalyptic number.

104777140 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 104777140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121380840).

104777140 is an abundant number, since it is smaller than the sum of its proper divisors (137984540).

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

104777140 is a wasteful number, since it uses less digits than its factorization.

104777140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9892 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 104777140 is about 10236.0705351224. The cubic root of 104777140 is about 471.4353885061.

It can be divided in two parts, 1047 and 77140, that added together give a palindrome (78187).

The spelling of 104777140 in words is "one hundred four million, seven hundred seventy-seven thousand, one hundred forty".