106807453286400 has 1512 divisors, whose sum is σ = 414597693007680. Its totient is φ = 27243640258560.

The previous prime is 106807453286297. The next prime is 106807453286419. The reversal of 106807453286400 is 4682354708601.

It is a happy number.

106807453286400 is a `hidden beast` number, since 1 + 0 + 68 + 0 + 7 + 4 + 532 + 8 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×106807453286400² (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 a nialpdrome in base 12.

It is a congruent number.

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, 4643802316789 + ... + 4643802316811.

Almost surely, 2^{106807453286400} is an apocalyptic number.

106807453286400 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 106807453286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207298846503840).

106807453286400 is an abundant number, since it is smaller than the sum of its proper divisors (307790239721280).

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

106807453286400 is an frugal number, since it uses more digits than its factorization.

106807453286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 106807453286400 in words is "one hundred six trillion, eight hundred seven billion, four hundred fifty-three million, two hundred eighty-six thousand, four hundred".