106200100 has 18 divisors (see below), whose sum is σ = 230454434. Its totient is φ = 42480000.

The previous prime is 106200097. The next prime is 106200103. The reversal of 106200100 is 1002601.

It is an interprime number because it is at equal distance from previous prime (106200097) and next prime (106200103).

It can be written as a sum of positive squares in 3 ways, for example, as 16064064 + 90136036 = 4008^2 + 9494^2 .

It is a super-2 number, since 2×106200100² = 22556922480020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (106200103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530901 + ... + 531100.

Almost surely, 2^106200100 is an apocalyptic number.

106200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106200100 is an abundant number, since it is smaller than the sum of its proper divisors (124254334).

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

106200100 is a wasteful number, since it uses less digits than its factorization.

106200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062015 (or 1062008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 106200100 is about 10305.3432742437. The cubic root of 106200100 is about 473.5599600254.

Adding to 106200100 its reverse (1002601), we get a palindrome (107202701).

The spelling of 106200100 in words is "one hundred six million, two hundred thousand, one hundred".