106034200 has 96 divisors (see below), whose sum is σ = 257639760. Its totient is φ = 40550400.

The previous prime is 106034183. The next prime is 106034249. The reversal of 106034200 is 2430601.

It is a super-2 number, since 2×106034200² = 22486503139280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549304 + ... + 549496.

Almost surely, 2^106034200 is an apocalyptic number.

106034200 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 106034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128819880).

106034200 is an abundant number, since it is smaller than the sum of its proper divisors (151605560).

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

106034200 is a wasteful number, since it uses less digits than its factorization.

106034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 106034200 is about 10297.2909058645. The cubic root of 106034200 is about 473.3132416696.

Adding to 106034200 its reverse (2430601), we get a palindrome (108464801).

The spelling of 106034200 in words is "one hundred six million, thirty-four thousand, two hundred".