106396200 has 384 divisors, whose sum is σ = 415152000. Its totient is φ = 24883200.

The previous prime is 106396159. The next prime is 106396237. The reversal of 106396200 is 2693601.

It is a happy number.

106396200 is a `hidden beast` number, since 1 + 0 + 6 + 39 + 620 + 0 = 666.

It is a super-2 number, since 2×106396200² = 22640302748880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1744170 + ... + 1744230.

It is an arithmetic number, because the mean of its divisors is an integer number (1081125).

Almost surely, 2^106396200 is an apocalyptic number.

106396200 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 106396200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207576000).

106396200 is an abundant number, since it is smaller than the sum of its proper divisors (308755800).

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

106396200 is a wasteful number, since it uses less digits than its factorization.

106396200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106396200 is about 10314.8533678381. The cubic root of 106396200 is about 473.8512592106.

The spelling of 106396200 in words is "one hundred six million, three hundred ninety-six thousand, two hundred".