106803500 has 48 divisors (see below), whose sum is σ = 234535392. Its totient is φ = 42488000.

The previous prime is 106803493. The next prime is 106803509. The reversal of 106803500 is 5308601.

It is a super-2 number, since 2×106803500² = 22813975224500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106803509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113030 + ... + 113970.

It is an arithmetic number, because the mean of its divisors is an integer number (4886154).

Almost surely, 2^106803500 is an apocalyptic number.

106803500 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 106803500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117267696).

106803500 is an abundant number, since it is smaller than the sum of its proper divisors (127731892).

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

106803500 is a wasteful number, since it uses less digits than its factorization.

106803500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 106803500 is about 10334.5778820424. The cubic root of 106803500 is about 474.4551462652.

The spelling of 106803500 in words is "one hundred six million, eight hundred three thousand, five hundred".