103266240 has 336 divisors, whose sum is σ = 415113216. Its totient is φ = 21288960.

The previous prime is 103266227. The next prime is 103266257. The reversal of 103266240 is 42662301.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103266240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813057 + ... + 813183.

It is an arithmetic number, because the mean of its divisors is an integer number (1235456).

Almost surely, 2^103266240 is an apocalyptic number.

103266240 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 103266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207556608).

103266240 is an abundant number, since it is smaller than the sum of its proper divisors (311846976).

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

103266240 is a wasteful number, since it uses less digits than its factorization.

103266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103266240 is about 10161.9998031883. Note that the first 3 decimals coincide. The cubic root of 103266240 is about 469.1583549110.

The spelling of 103266240 in words is "one hundred three million, two hundred sixty-six thousand, two hundred forty".