10104015400 has 192 divisors, whose sum is σ = 24956527680. Its totient is φ = 3799910400.

The previous prime is 10104015371. The next prime is 10104015403. The reversal of 10104015400 is 451040101.

It is a super-2 number, since 2×10104015400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10104015403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29118027 + ... + 29118373.

It is an arithmetic number, because the mean of its divisors is an integer number (129981915).

Almost surely, 2^10104015400 is an apocalyptic number.

10104015400 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 10104015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478263840).

10104015400 is an abundant number, since it is smaller than the sum of its proper divisors (14852512280).

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

10104015400 is a wasteful number, since it uses less digits than its factorization.

10104015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10104015400 its reverse (451040101), we get a palindrome (10555055501).

The spelling of 10104015400 in words is "ten billion, one hundred four million, fifteen thousand, four hundred".