103216768144 has 30 divisors (see below), whose sum is σ = 232632692214. Its totient is φ = 44235757440.

The previous prime is 103216768141. The next prime is 103216768147. The reversal of 103216768144 is 441867612301.

It is an interprime number because it is at equal distance from previous prime (103216768141) and next prime (103216768147).

It can be written as a sum of positive squares in only one way, i.e., 90012000400 + 13204767744 = 300020^2 + 114912^2 .

It is a super-3 number, since 3×103216768144³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103216768144.

It is not an unprimeable number, because it can be changed into a prime (103216768141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65826237 + ... + 65827804.

Almost surely, 2^103216768144 is an apocalyptic number.

103216768144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103216768144 is an abundant number, since it is smaller than the sum of its proper divisors (129415924070).

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

103216768144 is a wasteful number, since it uses less digits than its factorization.

103216768144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131654063 (or 131654050 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 103216768144 in words is "one hundred three billion, two hundred sixteen million, seven hundred sixty-eight thousand, one hundred forty-four".