103953920 has 80 divisors (see below), whose sum is σ = 284901408. Its totient is φ = 35635200.

The previous prime is 103953887. The next prime is 103953923. The reversal of 103953920 is 29359301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103953923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15020 + ... + 20820.

Almost surely, 2^103953920 is an apocalyptic number.

103953920 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 103953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142450704).

103953920 is an abundant number, since it is smaller than the sum of its proper divisors (180947488).

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

103953920 is an frugal number, since it uses more digits than its factorization.

103953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 103953920 is about 10195.7795189971. The cubic root of 103953920 is about 470.1974724744.

The spelling of 103953920 in words is "one hundred three million, nine hundred fifty-three thousand, nine hundred twenty".