103923072 has 192 divisors, whose sum is σ = 334152000. Its totient is φ = 30735360.

The previous prime is 103923007. The next prime is 103923101. The reversal of 103923072 is 270329301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747579 + ... + 747717.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^103923072 is an apocalyptic number.

103923072 is a gapful number since it is divisible by the number (12) 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 103923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

103923072 is an abundant number, since it is smaller than the sum of its proper divisors (230228928).

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

103923072 is a wasteful number, since it uses less digits than its factorization.

103923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 103923072 is about 10194.2666239411. The cubic root of 103923072 is about 470.1509579976.

The spelling of 103923072 in words is "one hundred three million, nine hundred twenty-three thousand, seventy-two".