100257144 has 64 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 30731136.

The previous prime is 100257139. The next prime is 100257149. The reversal of 100257144 is 441752001.

It is an interprime number because it is at equal distance from previous prime (100257139) and next prime (100257149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100257149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119077 + ... + 119915.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^100257144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100257144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

100257144 is an abundant number, since it is smaller than the sum of its proper divisors (170693256).

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

100257144 is a wasteful number, since it uses less digits than its factorization.

100257144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 100257144 is about 10012.8489452303. The cubic root of 100257144 is about 464.5563950696.

The spelling of 100257144 in words is "one hundred million, two hundred fifty-seven thousand, one hundred forty-four".