106025200 has 60 divisors (see below), whose sum is σ = 258286048. Its totient is φ = 41817600.

The previous prime is 106025197. The next prime is 106025201. The reversal of 106025200 is 2520601.

It is a happy number.

It is a super-2 number, since 2×106025200² = 22482686070080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106025201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27385 + ... + 31015.

Almost surely, 2^106025200 is an apocalyptic number.

106025200 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 106025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129143024).

106025200 is an abundant number, since it is smaller than the sum of its proper divisors (152260848).

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

106025200 is a wasteful number, since it uses less digits than its factorization.

106025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 106025200 is about 10296.8538884457. The cubic root of 106025200 is about 473.2998499535.

Adding to 106025200 its reverse (2520601), we get a palindrome (108545801).

The spelling of 106025200 in words is "one hundred six million, twenty-five thousand, two hundred".