103294776960 has 320 divisors, whose sum is σ = 369878632200. Its totient is φ = 27471052800.

The previous prime is 103294776941. The next prime is 103294776979. The reversal of 103294776960 is 69677492301.

It is a happy number.

103294776960 is a `hidden beast` number, since 103 + 2 + 9 + 477 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (103294776941) and next prime (103294776979).

It can be written as a sum of positive squares in 4 ways, for example, as 95362380864 + 7932396096 = 308808^2 + 89064^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×103294776960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 103294776897 and 103294776906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20785356 + ... + 20790324.

Almost surely, 2^103294776960 is an apocalyptic number.

103294776960 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 103294776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184939316100).

103294776960 is an abundant number, since it is smaller than the sum of its proper divisors (266583855240).

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

103294776960 is an equidigital number, since it uses as much as digits as its factorization.

103294776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 103294776960 in words is "one hundred three billion, two hundred ninety-four million, seven hundred seventy-six thousand, nine hundred sixty".