106503800 has 144 divisors (see below), whose sum is σ = 281834640. Its totient is φ = 37340160.

The previous prime is 106503737. The next prime is 106503821. The reversal of 106503800 is 8305601.

It is a super-2 number, since 2×106503800² = 22686118828880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777332 + ... + 777468.

It is an arithmetic number, because the mean of its divisors is an integer number (1957185).

Almost surely, 2^106503800 is an apocalyptic number.

106503800 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 106503800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140917320).

106503800 is an abundant number, since it is smaller than the sum of its proper divisors (175330840).

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

106503800 is a wasteful number, since it uses less digits than its factorization.

106503800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

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

The square root of 106503800 is about 10320.0678292345. The cubic root of 106503800 is about 474.0109429129.

The spelling of 106503800 in words is "one hundred six million, five hundred three thousand, eight hundred".