100257126 has 32 divisors (see below), whose sum is σ = 212738400. Its totient is φ = 31389696.

The previous prime is 100257121. The next prime is 100257127. The reversal of 100257126 is 621752001.

It is a junction number, because it is equal to n+sod(n) for n = 100257096 and 100257105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100257121) 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, 95050 + ... + 96098.

It is an arithmetic number, because the mean of its divisors is an integer number (6648075).

Almost surely, 2^100257126 is an apocalyptic number.

100257126 is an abundant number, since it is smaller than the sum of its proper divisors (112481274).

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

100257126 is a wasteful number, since it uses less digits than its factorization.

100257126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 100257126 is about 10012.8480463852. The cubic root of 100257126 is about 464.5563672677.

The spelling of 100257126 in words is "one hundred million, two hundred fifty-seven thousand, one hundred twenty-six".