103392072 has 256 divisors, whose sum is σ = 357120000. Its totient is φ = 27060480.

The previous prime is 103392071. The next prime is 103392073. The reversal of 103392072 is 270293301.

It is an interprime number because it is at equal distance from previous prime (103392071) and next prime (103392073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103392071) 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 63 ways as a sum of consecutive naturals, for example, 1694922 + ... + 1694982.

It is an arithmetic number, because the mean of its divisors is an integer number (1395000).

Almost surely, 2^103392072 is an apocalyptic number.

103392072 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 103392072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

103392072 is an abundant number, since it is smaller than the sum of its proper divisors (253727928).

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

103392072 is a wasteful number, since it uses less digits than its factorization.

103392072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

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

The square root of 103392072 is about 10168.1892193251. The cubic root of 103392072 is about 469.3488372081.

The spelling of 103392072 in words is "one hundred three million, three hundred ninety-two thousand, seventy-two".