105672638 has 16 divisors (see below), whose sum is σ = 162328320. Its totient is φ = 51569496.

The previous prime is 105672631. The next prime is 105672641. The reversal of 105672638 is 836276501.

It is a super-2 number, since 2×105672638² = 22333412843758088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105672631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38045 + ... + 40727.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2^105672638 is an apocalyptic number.

105672638 is a deficient number, since it is larger than the sum of its proper divisors (56655682).

105672638 is a wasteful number, since it uses less digits than its factorization.

105672638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 105672638 is about 10279.7197432615. The cubic root of 105672638 is about 472.7746514039.

The spelling of 105672638 in words is "one hundred five million, six hundred seventy-two thousand, six hundred thirty-eight".