103507820 has 96 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 34594560.

The previous prime is 103507787. The next prime is 103507829. The reversal of 103507820 is 28705301.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 103507820.

It is not an unprimeable number, because it can be changed into a prime (103507829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113165 + ... + 114075.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^103507820 is an apocalyptic number.

103507820 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 103507820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

103507820 is an abundant number, since it is smaller than the sum of its proper divisors (153895060).

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

103507820 is a wasteful number, since it uses less digits than its factorization.

103507820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 103507820 is about 10173.8792994609. The cubic root of 103507820 is about 469.5239181014.

The spelling of 103507820 in words is "one hundred three million, five hundred seven thousand, eight hundred twenty".