107138000 has 40 divisors (see below), whose sum is σ = 259064520. Its totient is φ = 42854400.

The previous prime is 107137997. The next prime is 107138011. The reversal of 107138000 is 831701.

It can be written as a sum of positive squares in 4 ways, for example, as 19678096 + 87459904 = 4436^2 + 9352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107138000² = 22957102088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24785 + ... + 28784.

It is an arithmetic number, because the mean of its divisors is an integer number (6476613).

Almost surely, 2^107138000 is an apocalyptic number.

107138000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107138000 is an abundant number, since it is smaller than the sum of its proper divisors (151926520).

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

107138000 is an equidigital number, since it uses as much as digits as its factorization.

107138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53592 (or 53576 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 107138000 is about 10350.7487651860. The cubic root of 107138000 is about 474.9499485581.

Adding to 107138000 its reverse (831701), we get a palindrome (107969701).

The spelling of 107138000 in words is "one hundred seven million, one hundred thirty-eight thousand".