106638356 has 24 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 48214400.

The previous prime is 106638353. The next prime is 106638359. The reversal of 106638356 is 653836601.

It is an interprime number because it is at equal distance from previous prime (106638353) and next prime (106638359).

It is a super-2 number, since 2×106638356² = 22743477940765472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106638353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2060 + ... + 14748.

It is an arithmetic number, because the mean of its divisors is an integer number (8527680).

Almost surely, 2^106638356 is an apocalyptic number.

It is an amenable number.

106638356 is a deficient number, since it is larger than the sum of its proper divisors (98025964).

106638356 is a wasteful number, since it uses less digits than its factorization.

106638356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12895 (or 12893 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 106638356 is about 10326.5849146753. The cubic root of 106638356 is about 474.2104793775.

It can be divided in two parts, 10 and 6638356, that added together give a palindrome (6638366).

The spelling of 106638356 in words is "one hundred six million, six hundred thirty-eight thousand, three hundred fifty-six".