100903428409 has 27 divisors (see below), whose sum is σ = 122764933263. Its totient is φ = 82686346512.

The previous prime is 100903428401. The next prime is 100903428427. The reversal of 100903428409 is 904824309001.

The square root of 100903428409 is 317653.

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

It can be written as a sum of positive squares in only one way, i.e., 21701709225 + 79201719184 = 147315^2 + 281428^2 .

It is not a de Polignac number, because 100903428409 - 2³ = 100903428401 is a prime.

It is a super-3 number, since 3×100903428409³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100903428401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51141147 + ... + 51143119.

Almost surely, 2^100903428409 is an apocalyptic number.

100903428409 is the 317653-rd square number.

100903428409 is the 158827-th centered octagonal number.

It is an amenable number.

100903428409 is a deficient number, since it is larger than the sum of its proper divisors (21861504854).

100903428409 is an frugal number, since it uses more digits than its factorization.

100903428409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 100903428409 in words is "one hundred billion, nine hundred three million, four hundred twenty-eight thousand, four hundred nine".