106353200 has 30 divisors (see below), whose sum is σ = 255514524. Its totient is φ = 42541120.

The previous prime is 106353199. The next prime is 106353211. The reversal of 106353200 is 2353601.

It is a super-2 number, since 2×106353200² = 22622006300480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132542 + ... + 133341.

Almost surely, 2^106353200 is an apocalyptic number.

106353200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106353200 is an abundant number, since it is smaller than the sum of its proper divisors (149161324).

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

106353200 is a wasteful number, since it uses less digits than its factorization.

106353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265901 (or 265890 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 106353200 is about 10312.7687843760. The cubic root of 106353200 is about 473.7874149828.

The spelling of 106353200 in words is "one hundred six million, three hundred fifty-three thousand, two hundred".