103407840 has 240 divisors, whose sum is σ = 373222080. Its totient is φ = 26956800.

The previous prime is 103407803. The next prime is 103407851. The reversal of 103407840 is 48704301.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1023790 + ... + 1023890.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 2^103407840 is an apocalyptic number.

103407840 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 103407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040).

103407840 is an abundant number, since it is smaller than the sum of its proper divisors (269814240).

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

103407840 is a wasteful number, since it uses less digits than its factorization.

103407840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 103407840 is about 10168.9645490581. The cubic root of 103407840 is about 469.3726956340.

The spelling of 103407840 in words is "one hundred three million, four hundred seven thousand, eight hundred forty".