105723797873906 has 24 divisors (see below), whose sum is σ = 164025775746756. Its totient is φ = 51105598764480.

The previous prime is 105723797873887. The next prime is 105723797873957. The reversal of 105723797873906 is 609378797327501.

105723797873906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 102171360760225 + 3552437113681 = 10107985^2 + 1884791^2 .

It is a super-2 number, since 2×105723797873906² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (74).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122543105 + ... + 123402836.

Almost surely, 2^{105723797873906} is an apocalyptic number.

105723797873906 is a deficient number, since it is larger than the sum of its proper divisors (58301977872850).

105723797873906 is a wasteful number, since it uses less digits than its factorization.

105723797873906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245946174 (or 245946137 counting only the distinct ones).

The product of its (nonzero) digits is 840157920, while the sum is 74.

The spelling of 105723797873906 in words is "one hundred five trillion, seven hundred twenty-three billion, seven hundred ninety-seven million, eight hundred seventy-three thousand, nine hundred six".