106503504 has 80 divisors (see below), whose sum is σ = 297623808. Its totient is φ = 32690176.

The previous prime is 106503497. The next prime is 106503511. The reversal of 106503504 is 405305601.

It is an interprime number because it is at equal distance from previous prime (106503497) and next prime (106503511).

It is a super-2 number, since 2×106503504² = 22685992728556032, 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 15 ways as a sum of consecutive naturals, for example, 36964 + ... + 39740.

Almost surely, 2^106503504 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 106503504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148811904).

106503504 is an abundant number, since it is smaller than the sum of its proper divisors (191120304).

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

106503504 is a wasteful number, since it uses less digits than its factorization.

106503504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 106503504 is about 10320.0534882335. The cubic root of 106503504 is about 474.0105037819.

The spelling of 106503504 in words is "one hundred six million, five hundred three thousand, five hundred four".