103545024 has 84 divisors (see below), whose sum is σ = 301200312. Its totient is φ = 31370240.

The previous prime is 103545023. The next prime is 103545031. The reversal of 103545024 is 420545301.

It is a super-3 number, since 3×103545024³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103544985 and 103545003.

It is not an unprimeable number, because it can be changed into a prime (103545023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21004 + ... + 25460.

It is an arithmetic number, because the mean of its divisors is an integer number (3585718).

Almost surely, 2^103545024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150600156).

103545024 is an abundant number, since it is smaller than the sum of its proper divisors (197655288).

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

103545024 is a wasteful number, since it uses less digits than its factorization.

103545024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 103545024 is about 10175.7075429672. The cubic root of 103545024 is about 469.5801653022.

The spelling of 103545024 in words is "one hundred three million, five hundred forty-five thousand, twenty-four".