106495200 has 216 divisors, whose sum is σ = 429378768. Its totient is φ = 24330240.

The previous prime is 106495189. The next prime is 106495201. The reversal of 106495200 is 2594601.

106495200 is a `hidden beast` number, since 10 + 649 + 5 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×106495200² = 22682455246080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106495201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49344 + ... + 51456.

Almost surely, 2^106495200 is an apocalyptic number.

106495200 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 106495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214689384).

106495200 is an abundant number, since it is smaller than the sum of its proper divisors (322883568).

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

106495200 is a wasteful number, since it uses less digits than its factorization.

106495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106495200 is about 10319.6511568948. The cubic root of 106495200 is about 473.9981840447.

The spelling of 106495200 in words is "one hundred six million, four hundred ninety-five thousand, two hundred".