100126440 has 96 divisors (see below), whose sum is σ = 334250280. Its totient is φ = 25975296.

The previous prime is 100126423. The next prime is 100126441. The reversal of 100126440 is 44621001.

100126440 is a `hidden beast` number, since 10 + 0 + 12 + 644 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100040004 + 86436 = 10002^2 + 294^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100126441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9562 + ... + 17078.

Almost surely, 2^100126440 is an apocalyptic number.

100126440 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 100126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167125140).

100126440 is an abundant number, since it is smaller than the sum of its proper divisors (234123840).

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

100126440 is a wasteful number, since it uses less digits than its factorization.

100126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100126440 is about 10006.3200028782. The cubic root of 100126440 is about 464.3544284661.

Adding to 100126440 its reverse (44621001), we get a palindrome (144747441).

The spelling of 100126440 in words is "one hundred million, one hundred twenty-six thousand, four hundred forty".