106003500 has 96 divisors (see below), whose sum is σ = 326918592. Its totient is φ = 26598400.

The previous prime is 106003487. The next prime is 106003529. The reversal of 106003500 is 5300601.

It is a super-2 number, since 2×106003500² = 22473484024500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106003500.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23422 + ... + 27578.

It is an arithmetic number, because the mean of its divisors is an integer number (3405402).

Almost surely, 2^106003500 is an apocalyptic number.

106003500 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 106003500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

106003500 is an abundant number, since it is smaller than the sum of its proper divisors (220915092).

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

106003500 is a wasteful number, since it uses less digits than its factorization.

106003500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 106003500 is about 10295.8001146098. The cubic root of 106003500 is about 473.2675579213.

The spelling of 106003500 in words is "one hundred six million, three thousand, five hundred".