100537823929 has 3 divisors (see below), whose sum is σ = 100538141007. Its totient is φ = 100537506852.

The previous prime is 100537823921. The next prime is 100537823963. The reversal of 100537823929 is 929328735001.

The square root of 100537823929 is 317077.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 929328735001 = 83 ⋅11196731747.

It can be written as a sum of positive squares in only one way, i.e., 55825875625 + 44711948304 = 236275^2 + 211452^2 .

It is not a de Polignac number, because 100537823929 - 2³ = 100537823921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100537823921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 158539 + ... + 475615.

It is an arithmetic number, because the mean of its divisors is an integer number (33512713669).

Almost surely, 2^100537823929 is an apocalyptic number.

100537823929 is the 317077-th square number.

100537823929 is the 158539-th centered octagonal number.

It is an amenable number.

100537823929 is a deficient number, since it is larger than the sum of its proper divisors (317078).

100537823929 is an frugal number, since it uses more digits than its factorization.

100537823929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634154 (or 317077 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 100537823929 by its sum of digits (49), we get a square (4926353372521 = 2219539²).

The spelling of 100537823929 in words is "one hundred billion, five hundred thirty-seven million, eight hundred twenty-three thousand, nine hundred twenty-nine".