106966964995200 has 1152 divisors, whose sum is σ = 398510009352000. Its totient is φ = 27302665420800.

The previous prime is 106966964995169. The next prime is 106966964995243. The reversal of 106966964995200 is 2599469669601.

106966964995200 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 6 + 6 + 9 + 6 + 4 + 99 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106966964995200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9769559326 + ... + 9769570274.

Almost surely, 2^{106966964995200} is an apocalyptic number.

106966964995200 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 106966964995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199255004676000).

106966964995200 is an abundant number, since it is smaller than the sum of its proper divisors (291543044356800).

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

106966964995200 is a wasteful number, since it uses less digits than its factorization.

106966964995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11190 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 106966964995200 in words is "one hundred six trillion, nine hundred sixty-six billion, nine hundred sixty-four million, nine hundred ninety-five thousand, two hundred".