103732420 has 96 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 35750400.

The previous prime is 103732403. The next prime is 103732441. The reversal of 103732420 is 24237301.

103732420 = T₁₆₉ + T₁₇₀ + ... + T₈₅₅.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103732391 and 103732400.

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, 452866 + ... + 453094.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2^103732420 is an apocalyptic number.

103732420 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 103732420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

103732420 is an abundant number, since it is smaller than the sum of its proper divisors (146654780).

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

103732420 is a wasteful number, since it uses less digits than its factorization.

103732420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 103732420 is about 10184.9113889125. The cubic root of 103732420 is about 469.8632769657.

Adding to 103732420 its reverse (24237301), we get a palindrome (127969721).

The spelling of 103732420 in words is "one hundred three million, seven hundred thirty-two thousand, four hundred twenty".