100105537673 has 2 divisors, whose sum is σ = 100105537674. Its totient is φ = 100105537672.

The previous prime is 100105537669. The next prime is 100105537681. The reversal of 100105537673 is 376735501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66250641664 + 33854896009 = 257392^2 + 183997^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105537673 - 2² = 100105537669 is a prime.

It is a super-2 number, since 2×100105537673² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105537073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052768836 + 50052768837.

It is an arithmetic number, because the mean of its divisors is an integer number (50052768837).

Almost surely, 2^100105537673 is an apocalyptic number.

It is an amenable number.

100105537673 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105537673 is an equidigital number, since it uses as much as digits as its factorization.

100105537673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 66150, while the sum is 38.

The spelling of 100105537673 in words is "one hundred billion, one hundred five million, five hundred thirty-seven thousand, six hundred seventy-three".