106463784375 has 288 divisors, whose sum is σ = 221548944960. Its totient is φ = 50220000000.

The previous prime is 106463784359. The next prime is 106463784377. The reversal of 106463784375 is 573487364601.

It is a happy number.

106463784375 is a `hidden beast` number, since 1 + 0 + 6 + 463 + 78 + 43 + 75 = 666.

It is not a de Polignac number, because 106463784375 - 2⁴ = 106463784359 is a prime.

It is a super-2 number, since 2×106463784375² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106463784377) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1054096825 + ... + 1054096925.

It is an arithmetic number, because the mean of its divisors is an integer number (769267170).

Almost surely, 2^106463784375 is an apocalyptic number.

106463784375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106463784375 is an abundant number, since it is smaller than the sum of its proper divisors (115085160585).

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

106463784375 is an equidigital number, since it uses as much as digits as its factorization.

106463784375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 153 counting only the distinct ones).

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

The spelling of 106463784375 in words is "one hundred six billion, four hundred sixty-three million, seven hundred eighty-four thousand, three hundred seventy-five".