10108638 has 40 divisors (see below), whose sum is σ = 23644368. Its totient is φ = 3221856.

The previous prime is 10108633. The next prime is 10108643. The reversal of 10108638 is 83680101.

10108638 is a `hidden beast` number, since 10 + 10 + 8 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (10108633) and next prime (10108643).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2370 + ... + 5082.

Almost surely, 2^10108638 is an apocalyptic number.

10108638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10108638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822184).

10108638 is an abundant number, since it is smaller than the sum of its proper divisors (13535730).

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

10108638 is a wasteful number, since it uses less digits than its factorization.

10108638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10108638 is about 3179.4084355427. The cubic root of 10108638 is about 216.2208389516.

Adding to 10108638 its reverse (83680101), we get a palindrome (93788739).

It can be divided in two parts, 101086 and 38, that added together give a square (101124 = 318²).

The spelling of 10108638 in words is "ten million, one hundred eight thousand, six hundred thirty-eight".