103857820 has 48 divisors (see below), whose sum is σ = 238680288. Its totient is φ = 37647360.

The previous prime is 103857799. The next prime is 103857823. The reversal of 103857820 is 28758301.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103857823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100024 + ... + 101056.

It is an arithmetic number, because the mean of its divisors is an integer number (4972506).

Almost surely, 2^103857820 is an apocalyptic number.

103857820 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 103857820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340144).

103857820 is an abundant number, since it is smaller than the sum of its proper divisors (134822468).

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

103857820 is a wasteful number, since it uses less digits than its factorization.

103857820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 103857820 is about 10191.0656950095. The cubic root of 103857820 is about 470.0525367558.

The spelling of 103857820 in words is "one hundred three million, eight hundred fifty-seven thousand, eight hundred twenty".