106382854410 has 256 divisors, whose sum is σ = 311792025600. Its totient is φ = 22715126784.

The previous prime is 106382854387. The next prime is 106382854421. The reversal of 106382854410 is 14458283601.

It is a happy number.

It is a super-2 number, since 2×106382854410² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28541967 + ... + 28545693.

It is an arithmetic number, because the mean of its divisors is an integer number (1217937600).

Almost surely, 2^106382854410 is an apocalyptic number.

106382854410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106382854410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155896012800).

106382854410 is an abundant number, since it is smaller than the sum of its proper divisors (205409171190).

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

106382854410 is a wasteful number, since it uses less digits than its factorization.

106382854410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925.

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 106382854410 in words is "one hundred six billion, three hundred eighty-two million, eight hundred fifty-four thousand, four hundred ten".