103670802144 has 432 divisors, whose sum is σ = 381261928320. Its totient is φ = 26458306560.

The previous prime is 103670802121. The next prime is 103670802173. The reversal of 103670802144 is 441208076301.

103670802144 is a `hidden beast` number, since 1 + 0 + 367 + 0 + 80 + 214 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103670802099 and 103670802108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5678022 + ... + 5696250.

It is an arithmetic number, because the mean of its divisors is an integer number (882550760).

Almost surely, 2^103670802144 is an apocalyptic number.

103670802144 is a gapful number since it is divisible by the number (14) 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 103670802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190630964160).

103670802144 is an abundant number, since it is smaller than the sum of its proper divisors (277591126176).

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

103670802144 is a wasteful number, since it uses less digits than its factorization.

103670802144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18303 (or 18285 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 103670802144 its reverse (441208076301), we get a palindrome (544878878445).

The spelling of 103670802144 in words is "one hundred three billion, six hundred seventy million, eight hundred two thousand, one hundred forty-four".