104415365340 has 288 divisors, whose sum is σ = 372489062400. Its totient is φ = 23341155840.

The previous prime is 104415365303. The next prime is 104415365347. The reversal of 104415365340 is 43563514401.

104415365340 is a `hidden beast` number, since 104 + 4 + 15 + 3 + 6 + 534 + 0 = 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 = 104415365295 and 104415365304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104415365347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37038451 + ... + 37041269.

It is an arithmetic number, because the mean of its divisors is an integer number (1293364800).

Almost surely, 2^104415365340 is an apocalyptic number.

104415365340 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 104415365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186244531200).

104415365340 is an abundant number, since it is smaller than the sum of its proper divisors (268073697060).

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

104415365340 is a wasteful number, since it uses less digits than its factorization.

104415365340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 104415365340 its reverse (43563514401), we get a palindrome (147978879741).

The spelling of 104415365340 in words is "one hundred four billion, four hundred fifteen million, three hundred sixty-five thousand, three hundred forty".