103702122162144 has 72 divisors (see below), whose sum is σ = 321712265353752. Its totient is φ = 31424885502720.

The previous prime is 103702122162131. The next prime is 103702122162157. The reversal of 103702122162144 is 441261221207301.

103702122162144 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 0 + 2 + 1 + 2 + 21 + 621 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103702122162131) and next prime (103702122162157).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 103702122162099 and 103702122162108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16367124699 + ... + 16367131034.

It is an arithmetic number, because the mean of its divisors is an integer number (4468225907691).

Almost surely, 2^{103702122162144} is an apocalyptic number.

It is an amenable number.

103702122162144 is an abundant number, since it is smaller than the sum of its proper divisors (218010143191608).

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

103702122162144 is a wasteful number, since it uses less digits than its factorization.

103702122162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32734255760 (or 32734255749 counting only the distinct ones).

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

Adding to 103702122162144 its reverse (441261221207301), we get a palindrome (544963343369445).

The spelling of 103702122162144 in words is "one hundred three trillion, seven hundred two billion, one hundred twenty-two million, one hundred sixty-two thousand, one hundred forty-four".