103857120 has 192 divisors, whose sum is σ = 376488000. Its totient is φ = 26707968.

The previous prime is 103857119. The next prime is 103857137. The reversal of 103857120 is 21758301.

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

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 31 ways as a sum of consecutive naturals, for example, 124866 + ... + 125694.

It is an arithmetic number, because the mean of its divisors is an integer number (1960875).

Almost surely, 2^103857120 is an apocalyptic number.

103857120 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 103857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188244000).

103857120 is an abundant number, since it is smaller than the sum of its proper divisors (272630880).

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

103857120 is a wasteful number, since it uses less digits than its factorization.

103857120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 103857120 is about 10191.0313511440. The cubic root of 103857120 is about 470.0514807047.

The spelling of 103857120 in words is "one hundred three million, eight hundred fifty-seven thousand, one hundred twenty".