104142504960 has 792 divisors, whose sum is σ = 401116757184. Its totient is φ = 24958402560.

The previous prime is 104142504953. The next prime is 104142504967. The reversal of 104142504960 is 69405241401.

104142504960 is a `hidden beast` number, since 1 + 0 + 4 + 142 + 504 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104142504953) and next prime (104142504967).

It is a super-2 number, since 2×104142504960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104142504967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334863205 + ... + 334863515.

It is an arithmetic number, because the mean of its divisors is an integer number (506460552).

Almost surely, 2^104142504960 is an apocalyptic number.

104142504960 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 104142504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558378592).

104142504960 is an abundant number, since it is smaller than the sum of its proper divisors (296974252224).

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

104142504960 is a wasteful number, since it uses less digits than its factorization.

104142504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 104142504960 in words is "one hundred four billion, one hundred forty-two million, five hundred four thousand, nine hundred sixty".