10144455100 has 72 divisors (see below), whose sum is σ = 23738980608. Its totient is φ = 3740563200.

The previous prime is 10144455077. The next prime is 10144455163. The reversal of 10144455100 is 155444101.

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

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, 1031205 + ... + 1040995.

It is an arithmetic number, because the mean of its divisors is an integer number (329708064).

Almost surely, 2^10144455100 is an apocalyptic number.

10144455100 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 10144455100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869490304).

10144455100 is an abundant number, since it is smaller than the sum of its proper divisors (13594525508).

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

10144455100 is a wasteful number, since it uses less digits than its factorization.

10144455100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10615 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10144455100 its reverse (155444101), we get a palindrome (10299899201).

The spelling of 10144455100 in words is "ten billion, one hundred forty-four million, four hundred fifty-five thousand, one hundred".