103777616160 has 144 divisors (see below), whose sum is σ = 355402789560. Its totient is φ = 27575439360.

The previous prime is 103777616099. The next prime is 103777616161. The reversal of 103777616160 is 61616777301.

103777616160 is a `hidden beast` number, since 10 + 3 + 7 + 7 + 7 + 616 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103449716496 + 327899664 = 321636^2 + 18108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103777616161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276406 + ... + 532874.

Almost surely, 2^103777616160 is an apocalyptic number.

103777616160 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 103777616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177701394780).

103777616160 is an abundant number, since it is smaller than the sum of its proper divisors (251625173400).

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

103777616160 is a wasteful number, since it uses less digits than its factorization.

103777616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256771 (or 256760 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 103777616160 in words is "one hundred three billion, seven hundred seventy-seven million, six hundred sixteen thousand, one hundred sixty".