10145432550 has 288 divisors, whose sum is σ = 29623853952. Its totient is φ = 2288000000.

The previous prime is 10145432509. The next prime is 10145432551. The reversal of 10145432550 is 5523454101.

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 (10145432551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40419925 + ... + 40420175.

It is an arithmetic number, because the mean of its divisors is an integer number (102860604).

Almost surely, 2^10145432550 is an apocalyptic number.

10145432550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145432550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811926976).

10145432550 is an abundant number, since it is smaller than the sum of its proper divisors (19478421402).

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

10145432550 is a wasteful number, since it uses less digits than its factorization.

10145432550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 10145432550 its reverse (5523454101), we get a palindrome (15668886651).

The spelling of 10145432550 in words is "ten billion, one hundred forty-five million, four hundred thirty-two thousand, five hundred fifty".