103819605120 has 1280 divisors, whose sum is σ = 477724262400. Its totient is φ = 20852121600.

The previous prime is 103819605119. The next prime is 103819605121. The reversal of 103819605120 is 21506918301.

103819605120 is a `hidden beast` number, since 1 + 0 + 3 + 81 + 9 + 60 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103819605119) and next prime (103819605121).

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

It is not an unprimeable number, because it can be changed into a prime (103819605121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123741661 + ... + 123742499.

It is an arithmetic number, because the mean of its divisors is an integer number (373222080).

Almost surely, 2^103819605120 is an apocalyptic number.

103819605120 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 103819605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238862131200).

103819605120 is an abundant number, since it is smaller than the sum of its proper divisors (373904657280).

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

103819605120 is a wasteful number, since it uses less digits than its factorization.

103819605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 103819605120 in words is "one hundred three billion, eight hundred nineteen million, six hundred five thousand, one hundred twenty".