103624768144 has 20 divisors (see below), whose sum is σ = 200841907324. Its totient is φ = 51794598528.

The previous prime is 103624768109. The next prime is 103624768187. The reversal of 103624768144 is 441867426301.

It can be written as a sum of positive squares in 2 ways, for example, as 61028761600 + 42596006544 = 247040^2 + 206388^2 .

It is a super-3 number, since 3×103624768144³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103624768094 and 103624768103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1063467 + ... + 1156810.

Almost surely, 2^103624768144 is an apocalyptic number.

It is an amenable number.

103624768144 is a deficient number, since it is larger than the sum of its proper divisors (97217139180).

103624768144 is a wasteful number, since it uses less digits than its factorization.

103624768144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223202 (or 2223196 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 103624768144 in words is "one hundred three billion, six hundred twenty-four million, seven hundred sixty-eight thousand, one hundred forty-four".