106393664332800 has 792 divisors, whose sum is σ = 425437199818176. Its totient is φ = 26189189775360.

The previous prime is 106393664332771. The next prime is 106393664332841. The reversal of 106393664332800 is 8233466393601.

It is a happy number.

106393664332800 is a `hidden beast` number, since 1 + 0 + 63 + 93 + 66 + 433 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×106393664332800² (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 71 ways as a sum of consecutive naturals, for example, 80212597 + ... + 81528203.

Almost surely, 2^{106393664332800} is an apocalyptic number.

106393664332800 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 106393664332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212718599909088).

106393664332800 is an abundant number, since it is smaller than the sum of its proper divisors (319043535485376).

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

106393664332800 is a wasteful number, since it uses less digits than its factorization.

106393664332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315665 (or 1315630 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 106393664332800 in words is "one hundred six trillion, three hundred ninety-three billion, six hundred sixty-four million, three hundred thirty-two thousand, eight hundred".