103357540 has 96 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 34137600.

The previous prime is 103357531. The next prime is 103357567. The reversal of 103357540 is 45753301.

It is a junction number, because it is equal to n+sod(n) for n = 103357499 and 103357508.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 202806 + ... + 203314.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^103357540 is an apocalyptic number.

103357540 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 103357540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

103357540 is an abundant number, since it is smaller than the sum of its proper divisors (155738780).

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

103357540 is a wasteful number, since it uses less digits than its factorization.

103357540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 103357540 is about 10166.4910367344. The cubic root of 103357540 is about 469.2965786598.

The spelling of 103357540 in words is "one hundred three million, three hundred fifty-seven thousand, five hundred forty".