10104578640 has 480 divisors, whose sum is σ = 37973819520. Its totient is φ = 2391773184.

The previous prime is 10104578629. The next prime is 10104578641. The reversal of 10104578640 is 4687540101.

It is a happy number.

10104578640 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 5 + 7 + 8 + 640 = 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 = 10104578595 and 10104578604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104578641) 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, 56450071 + ... + 56450249.

It is an arithmetic number, because the mean of its divisors is an integer number (79112124).

Almost surely, 2^10104578640 is an apocalyptic number.

10104578640 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 10104578640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986909760).

10104578640 is an abundant number, since it is smaller than the sum of its proper divisors (27869240880).

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

10104578640 is a wasteful number, since it uses less digits than its factorization.

10104578640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10104578640 in words is "ten billion, one hundred four million, five hundred seventy-eight thousand, six hundred forty".