103804917120 has 256 divisors, whose sum is σ = 376194931200. Its totient is φ = 27037366272.

The previous prime is 103804917119. The next prime is 103804917121. The reversal of 103804917120 is 21719408301.

It is a happy number.

103804917120 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 491 + 71 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (103804917119) and next prime (103804917121).

It is a super-4 number, since 4×103804917120⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103804917121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673189 + ... + 812891.

It is an arithmetic number, because the mean of its divisors is an integer number (1469511450).

Almost surely, 2^103804917120 is an apocalyptic number.

103804917120 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 103804917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188097465600).

103804917120 is an abundant number, since it is smaller than the sum of its proper divisors (272390014080).

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

103804917120 is a wasteful number, since it uses less digits than its factorization.

103804917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139774 (or 139756 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 103804917120 in words is "one hundred three billion, eight hundred four million, nine hundred seventeen thousand, one hundred twenty".