10104723651000 has 256 divisors, whose sum is σ = 34400246400000. Its totient is φ = 2449099968000.

The previous prime is 10104723650927. The next prime is 10104723651007. The reversal of 10104723651000 is 15632740101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104723651007) 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, 164936374 + ... + 164997626.

It is an arithmetic number, because the mean of its divisors is an integer number (134375962500).

Almost surely, 2^{10104723651000} is an apocalyptic number.

10104723651000 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 10104723651000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200123200000).

10104723651000 is an abundant number, since it is smaller than the sum of its proper divisors (24295522749000).

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

10104723651000 is a wasteful number, since it uses less digits than its factorization.

10104723651000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66287 (or 66273 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10104723651000 in words is "ten trillion, one hundred four billion, seven hundred twenty-three million, six hundred fifty-one thousand".