10145550400 has 84 divisors (see below), whose sum is σ = 25109382852. Its totient is φ = 4034652160.

The previous prime is 10145550397. The next prime is 10145550449. The reversal of 10145550400 is 405554101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23580736 + 10121969664 = 4856^2 + 100608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258474 + ... + 295126.

Almost surely, 2^10145550400 is an apocalyptic number.

10145550400 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 10145550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554691426).

10145550400 is an abundant number, since it is smaller than the sum of its proper divisors (14963832452).

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

10145550400 is a wasteful number, since it uses less digits than its factorization.

10145550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36848 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 10145550400 in words is "ten billion, one hundred forty-five million, five hundred fifty thousand, four hundred".