103653420 has 96 divisors (see below), whose sum is σ = 330982848. Its totient is φ = 24010752.

The previous prime is 103653419. The next prime is 103653427. The reversal of 103653420 is 24356301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103653427) by changing a digit.

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, 9352 + ... + 17168.

It is an arithmetic number, because the mean of its divisors is an integer number (3447738).

Almost surely, 2^103653420 is an apocalyptic number.

103653420 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 103653420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165491424).

103653420 is an abundant number, since it is smaller than the sum of its proper divisors (227329428).

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

103653420 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 103653420 = (613320054)₈.

103653420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 103653420 is about 10181.0323641564. The cubic root of 103653420 is about 469.7439679914.

The spelling of 103653420 in words is "one hundred three million, six hundred fifty-three thousand, four hundred twenty".