10130150400 has 264 divisors, whose sum is σ = 35454695040. Its totient is φ = 2542141440.

The previous prime is 10130150369. The next prime is 10130150411. The reversal of 10130150400 is 405103101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130150400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301721 + ... + 1309479.

Almost surely, 2^10130150400 is an apocalyptic number.

10130150400 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 10130150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727347520).

10130150400 is an abundant number, since it is smaller than the sum of its proper divisors (25324544640).

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

10130150400 is a wasteful number, since it uses less digits than its factorization.

10130150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10130150400 its reverse (405103101), we get a palindrome (10535253501).

The spelling of 10130150400 in words is "ten billion, one hundred thirty million, one hundred fifty thousand, four hundred".