105667243990 has 64 divisors (see below), whose sum is σ = 237278730240. Its totient is φ = 32915111040.

The previous prime is 105667243921. The next prime is 105667243991. The reversal of 105667243990 is 99342766501.

It is a happy number.

It is a super-2 number, since 2×105667243990² (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 (105667243991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244019 + ... + 1326241.

It is an arithmetic number, because the mean of its divisors is an integer number (3707480160).

Almost surely, 2^105667243990 is an apocalyptic number.

105667243990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105667243990 is an abundant number, since it is smaller than the sum of its proper divisors (131611486250).

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

105667243990 is a wasteful number, since it uses less digits than its factorization.

105667243990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83917.

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 105667243990 in words is "one hundred five billion, six hundred sixty-seven million, two hundred forty-three thousand, nine hundred ninety".