103408032 has 288 divisors, whose sum is σ = 361972800. Its totient is φ = 25546752.

The previous prime is 103408009. The next prime is 103408073. The reversal of 103408032 is 230804301.

It is a happy number.

It is a super-2 number, since 2×103408032² = 21386442164226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1161844 + ... + 1161932.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^103408032 is an apocalyptic number.

103408032 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 103408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

103408032 is an abundant number, since it is smaller than the sum of its proper divisors (258564768).

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

103408032 is a wasteful number, since it uses less digits than its factorization.

103408032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 103408032 is about 10168.9739895429. The cubic root of 103408032 is about 469.3729861326.

The spelling of 103408032 in words is "one hundred three million, four hundred eight thousand, thirty-two".