106347663655200 has 972 divisors, whose sum is σ = 428034000262050. Its totient is φ = 25781097830400.

The previous prime is 106347663655099. The next prime is 106347663655267. The reversal of 106347663655200 is 2556366743601.

106347663655200 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 76 + 6 + 365 + 5 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 67135670900496 + 39211992754704 = 8193636^2 + 6261948^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×106347663655200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 635021076 + ... + 635188524.

Almost surely, 2^{106347663655200} is an apocalyptic number.

106347663655200 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 106347663655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214017000131025).

106347663655200 is an abundant number, since it is smaller than the sum of its proper divisors (321686336606850).

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

106347663655200 is an equidigital number, since it uses as much as digits as its factorization.

106347663655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167515 (or 167470 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 106347663655200 in words is "one hundred six trillion, three hundred forty-seven billion, six hundred sixty-three million, six hundred fifty-five thousand, two hundred".