104600412603540 has 288 divisors, whose sum is σ = 366232367015424. Its totient is φ = 23670177868800.

The previous prime is 104600412603509. The next prime is 104600412603559. The reversal of 104600412603540 is 45306214006401.

104600412603540 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 0 + 0 + 4 + 1 + 2 + 603 + 5 + 40 = 666.

104600412603540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×104600412603540³ (a number of 43 digits) contains 333 as substring.

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 = 104600412603495 and 104600412603504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2509164577 + ... + 2509206263.

It is an arithmetic number, because the mean of its divisors is an integer number (1271640163248).

Almost surely, 2^{104600412603540} is an apocalyptic number.

104600412603540 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 104600412603540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183116183507712).

104600412603540 is an abundant number, since it is smaller than the sum of its proper divisors (261631954411884).

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

104600412603540 is a wasteful number, since it uses less digits than its factorization.

104600412603540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61527 (or 61522 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 104600412603540 its reverse (45306214006401), we get a palindrome (149906626609941).

The spelling of 104600412603540 in words is "one hundred four trillion, six hundred billion, four hundred twelve million, six hundred three thousand, five hundred forty".