103362480 has 240 divisors, whose sum is σ = 388620960. Its totient is φ = 25380864.

The previous prime is 103362461. The next prime is 103362509. The reversal of 103362480 is 84263301.

It is a happy number.

103362480 is a `hidden beast` number, since 1 + 0 + 33 + 624 + 8 + 0 = 666.

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252516 + ... + 252924.

It is an arithmetic number, because the mean of its divisors is an integer number (1619254).

Almost surely, 2^103362480 is an apocalyptic number.

103362480 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 103362480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194310480).

103362480 is an abundant number, since it is smaller than the sum of its proper divisors (285258480).

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

103362480 is a wasteful number, since it uses less digits than its factorization.

103362480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

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

The square root of 103362480 is about 10166.7339888481. The cubic root of 103362480 is about 469.3040552572.

The spelling of 103362480 in words is "one hundred three million, three hundred sixty-two thousand, four hundred eighty".