103485120 has 168 divisors, whose sum is σ = 349965264. Its totient is φ = 25903104.

The previous prime is 103485113. The next prime is 103485139. The reversal of 103485120 is 21584301.

It is a super-2 number, since 2×103485120² = 21418340122828800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277254 + ... + 277626.

Almost surely, 2^103485120 is an apocalyptic number.

103485120 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 103485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174982632).

103485120 is an abundant number, since it is smaller than the sum of its proper divisors (246480144).

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

103485120 is a wasteful number, since it uses less digits than its factorization.

103485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 400 counting only the distinct ones).

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

The square root of 103485120 is about 10172.7636362986. The cubic root of 103485120 is about 469.4895922821.

The spelling of 103485120 in words is "one hundred three million, four hundred eighty-five thousand, one hundred twenty".