103165440 has 320 divisors, whose sum is σ = 400688640. Its totient is φ = 22118400.

The previous prime is 103165399. The next prime is 103165451. The reversal of 103165440 is 44561301.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103165440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021390 + ... + 1021490.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152).

Almost surely, 2^103165440 is an apocalyptic number.

103165440 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 103165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

103165440 is an abundant number, since it is smaller than the sum of its proper divisors (297523200).

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

103165440 is a wasteful number, since it uses less digits than its factorization.

103165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 103165440 is about 10157.0389385884. The cubic root of 103165440 is about 469.0056539644.

The spelling of 103165440 in words is "one hundred three million, one hundred sixty-five thousand, four hundred forty".