103164640 has 48 divisors (see below), whose sum is σ = 245693952. Its totient is φ = 40932864.

The previous prime is 103164631. The next prime is 103164647. The reversal of 103164640 is 46461301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103164647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17782 + ... + 22858.

It is an arithmetic number, because the mean of its divisors is an integer number (5118624).

Almost surely, 2^103164640 is an apocalyptic number.

103164640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122846976).

103164640 is an abundant number, since it is smaller than the sum of its proper divisors (142529312).

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

103164640 is a wasteful number, since it uses less digits than its factorization.

103164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 103164640 is about 10156.9995569558. Note that the first 3 decimals coincide. The cubic root of 103164640 is about 469.0044416544.

The spelling of 103164640 in words is "one hundred three million, one hundred sixty-four thousand, six hundred forty".