105967606100 has 18 divisors (see below), whose sum is σ = 229949705454. Its totient is φ = 42387042400.

The previous prime is 105967606093. The next prime is 105967606103. The reversal of 105967606100 is 1606769501.

It can be written as a sum of positive squares in 3 ways, for example, as 20714117776 + 85253488324 = 143924^2 + 291982^2 .

It is a super-2 number, since 2×105967606100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105967606103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 529837931 + ... + 529838130.

Almost surely, 2^105967606100 is an apocalyptic number.

105967606100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105967606100 is an abundant number, since it is smaller than the sum of its proper divisors (123982099354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105967606100 is a wasteful number, since it uses less digits than its factorization.

105967606100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059676075 (or 1059676068 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The spelling of 105967606100 in words is "one hundred five billion, nine hundred sixty-seven million, six hundred six thousand, one hundred".