106483735706400 has 2304 divisors, whose sum is σ = 452139386227200. Its totient is φ = 23949024952320.

The previous prime is 106483735706399. The next prime is 106483735706461. The reversal of 106483735706400 is 4607537384601.

It is a happy number.

106483735706400 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 3 + 7 + 3 + 570 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×106483735706400² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24541075431 + ... + 24541079769.

It is an arithmetic number, because the mean of its divisors is an integer number (196241053050).

Almost surely, 2^{106483735706400} is an apocalyptic number.

106483735706400 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 106483735706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226069693113600).

106483735706400 is an abundant number, since it is smaller than the sum of its proper divisors (345655650520800).

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

106483735706400 is a wasteful number, since it uses less digits than its factorization.

106483735706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 106483735706400 in words is "one hundred six trillion, four hundred eighty-three billion, seven hundred thirty-five million, seven hundred six thousand, four hundred".