103164480 has 168 divisors, whose sum is σ = 359112312. Its totient is φ = 27181056.

The previous prime is 103164469. The next prime is 103164533. The reversal of 103164480 is 84461301.

103164480 is a `hidden beast` number, since 10 + 3 + 1 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 95413824 = 2784^2 + 9768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325282 + ... + 325598.

Almost surely, 2^103164480 is an apocalyptic number.

103164480 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 103164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179556156).

103164480 is an abundant number, since it is smaller than the sum of its proper divisors (255947832).

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

103164480 is a wasteful number, since it uses less digits than its factorization.

103164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103164480 is about 10156.9916806109. The cubic root of 103164480 is about 469.0041991917.

The spelling of 103164480 in words is "one hundred three million, one hundred sixty-four thousand, four hundred eighty".