100376813329 has 9 divisors (see below), whose sum is σ = 108696512379. Its totient is φ = 92651718120.

The previous prime is 100376813323. The next prime is 100376813347. The reversal of 100376813329 is 923318673001.

It is a happy number.

The square root of 100376813329 is 316823.

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., 14848641025 + 85528172304 = 121855^2 + 292452^2 .

It is not a de Polignac number, because 100376813329 - 2¹¹ = 100376811281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100376813323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4106514 + ... + 4130884.

Almost surely, 2^100376813329 is an apocalyptic number.

100376813329 is the 316823-rd square number.

100376813329 is the 158412-nd centered octagonal number.

It is an amenable number.

100376813329 is a deficient number, since it is larger than the sum of its proper divisors (8319699050).

100376813329 is an frugal number, since it uses more digits than its factorization.

100376813329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48768 (or 24384 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 100376813329 in words is "one hundred billion, three hundred seventy-six million, eight hundred thirteen thousand, three hundred twenty-nine".