100408498129 has 9 divisors (see below), whose sum is σ = 101865445129. Its totient is φ = 98972112820.

The previous prime is 100408498111. The next prime is 100408498213. The reversal of 100408498129 is 921894804001.

The square root of 100408498129 is 316873.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 100408498129 - 2¹¹ = 100408496081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100408498829) 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 8 ways as a sum of consecutive naturals, for example, 22495752 + ... + 22500214.

Almost surely, 2^100408498129 is an apocalyptic number.

100408498129 is the 316873-rd square number.

100408498129 is the 158437-th centered octagonal number.

It is an amenable number.

100408498129 is a deficient number, since it is larger than the sum of its proper divisors (1456947000).

100408498129 is an frugal number, since it uses more digits than its factorization.

100408498129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9068 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 100408498129 in words is "one hundred billion, four hundred eight million, four hundred ninety-eight thousand, one hundred twenty-nine".