104514840 has 256 divisors, whose sum is σ = 373248000. Its totient is φ = 25966080.

The previous prime is 104514803. The next prime is 104514847. The reversal of 104514840 is 48415401.

It is a happy number.

104514840 is a `hidden beast` number, since 104 + 514 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104514847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1472005 + ... + 1472075.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 2^104514840 is an apocalyptic number.

104514840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104514840 is the 5112-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104514840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

104514840 is an abundant number, since it is smaller than the sum of its proper divisors (268733160).

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

104514840 is a wasteful number, since it uses less digits than its factorization.

104514840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104514840 is about 10223.2499724892. The cubic root of 104514840 is about 471.0416612911.

The spelling of 104514840 in words is "one hundred four million, five hundred fourteen thousand, eight hundred forty".