10306150400 has 504 divisors, whose sum is σ = 32422612320. Its totient is φ = 3220439040.

The previous prime is 10306150343. The next prime is 10306150453. The reversal of 10306150400 is 405160301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130457561 + ... + 130457639.

It is an arithmetic number, because the mean of its divisors is an integer number (64330580).

Almost surely, 2^10306150400 is an apocalyptic number.

10306150400 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 10306150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211306160).

10306150400 is an abundant number, since it is smaller than the sum of its proper divisors (22116461920).

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

10306150400 is an equidigital number, since it uses as much as digits as its factorization.

10306150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Subtracting from 10306150400 its reverse (405160301), we obtain a palindrome (9900990099).

The spelling of 10306150400 in words is "ten billion, three hundred six million, one hundred fifty thousand, four hundred".