106302100 has 72 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 40310400.

The previous prime is 106302083. The next prime is 106302101. The reversal of 106302100 is 1203601.

It is a super-2 number, since 2×106302100² = 22600272928820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106302101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163977 + ... + 164623.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^106302100 is an apocalyptic number.

106302100 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 106302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

106302100 is an abundant number, since it is smaller than the sum of its proper divisors (136682348).

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

106302100 is a wasteful number, since it uses less digits than its factorization.

106302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 106302100 is about 10310.2909755254. The cubic root of 106302100 is about 473.7115219037.

Adding to 106302100 its reverse (1203601), we get a palindrome (107505701).

The spelling of 106302100 in words is "one hundred six million, three hundred two thousand, one hundred".