103152480 has 96 divisors (see below), whose sum is σ = 326446848. Its totient is φ = 27379200.

The previous prime is 103152409. The next prime is 103152487. The reversal of 103152480 is 84251301.

It is a tau number, because it is divible by the number of its divisors (96).

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 103152480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103152487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148935 + ... + 149625.

It is an arithmetic number, because the mean of its divisors is an integer number (3400488).

Almost surely, 2^103152480 is an apocalyptic number.

103152480 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 103152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163223424).

103152480 is an abundant number, since it is smaller than the sum of its proper divisors (223294368).

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

103152480 is a wasteful number, since it uses less digits than its factorization.

103152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 103152480 is about 10156.4009373400. The cubic root of 103152480 is about 468.9860137703.

The spelling of 103152480 in words is "one hundred three million, one hundred fifty-two thousand, four hundred eighty".