106395033600 has 672 divisors, whose sum is σ = 397847393280. Its totient is φ = 27869184000.

The previous prime is 106395033559. The next prime is 106395033617. The reversal of 106395033600 is 6330593601.

106395033600 is a `hidden beast` number, since 10 + 6 + 3 + 9 + 5 + 0 + 33 + 600 = 666.

It is a super-2 number, since 2×106395033600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392601465 + ... + 392601735.

Almost surely, 2^106395033600 is an apocalyptic number.

106395033600 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 106395033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198923696640).

106395033600 is an abundant number, since it is smaller than the sum of its proper divisors (291452359680).

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

106395033600 is an equidigital number, since it uses as much as digits as its factorization.

106395033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 106395033600 in words is "one hundred six billion, three hundred ninety-five million, thirty-three thousand, six hundred".