100257129 has 32 divisors (see below), whose sum is σ = 178688000. Its totient is φ = 54272592.

The previous prime is 100257127. The next prime is 100257139. The reversal of 100257129 is 921752001.

It is not a de Polignac number, because 100257129 - 2¹ = 100257127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian 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 31 ways as a sum of consecutive naturals, for example, 10369 + ... + 17550.

It is an arithmetic number, because the mean of its divisors is an integer number (5584000).

Almost surely, 2^100257129 is an apocalyptic number.

100257129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100257129 is a deficient number, since it is larger than the sum of its proper divisors (78430871).

100257129 is a wasteful number, since it uses less digits than its factorization.

100257129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27954 (or 27948 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 100257129 is about 10012.8481961927. The cubic root of 100257129 is about 464.5563719013.

The spelling of 100257129 in words is "one hundred million, two hundred fifty-seven thousand, one hundred twenty-nine".