103386240 has 256 divisors, whose sum is σ = 379929600. Its totient is φ = 26542080.

The previous prime is 103386223. The next prime is 103386253. The reversal of 103386240 is 42683301.

It is a happy number.

103386240 is a `hidden beast` number, since 1 + 0 + 3 + 38 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535584 + ... + 535776.

It is an arithmetic number, because the mean of its divisors is an integer number (1484100).

Almost surely, 2^103386240 is an apocalyptic number.

103386240 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 103386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189964800).

103386240 is an abundant number, since it is smaller than the sum of its proper divisors (276543360).

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

103386240 is a wasteful number, since it uses less digits than its factorization.

103386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103386240 is about 10167.9024385563. The cubic root of 103386240 is about 469.3400122443.

The spelling of 103386240 in words is "one hundred three million, three hundred eighty-six thousand, two hundred forty".