103488000 has 480 divisors, whose sum is σ = 436632768. Its totient is φ = 21504000.

The previous prime is 103487983. The next prime is 103488029. The reversal of 103488000 is 884301.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×103488000² = 21419532288000000, which contains 22 as substring.

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

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, 9407995 + ... + 9408005.

Almost surely, 2^103488000 is an apocalyptic number.

103488000 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 103488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

103488000 is an abundant number, since it is smaller than the sum of its proper divisors (333144768).

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

103488000 is an equidigital number, since it uses as much as digits as its factorization.

103488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 103488000 is about 10172.9051897676. The cubic root of 103488000 is about 469.4939475539.

The spelling of 103488000 in words is "one hundred three million, four hundred eighty-eight thousand".