106163435601440 has 288 divisors, whose sum is σ = 300527377860528. Its totient is φ = 35314900992000.

The previous prime is 106163435601427. The next prime is 106163435601449. The reversal of 106163435601440 is 44106534361601.

106163435601440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 514886613136 + 105648548988304 = 717556^2 + 10278548^2 .

It is a super-2 number, since 2×106163435601440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106163435601391 and 106163435601400.

It is not an unprimeable number, because it can be changed into a prime (106163435601449) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 57268280 + ... + 59093000.

Almost surely, 2^{106163435601440} is an apocalyptic number.

106163435601440 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 106163435601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150263688930264).

106163435601440 is an abundant number, since it is smaller than the sum of its proper divisors (194363942259088).

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

106163435601440 is a wasteful number, since it uses less digits than its factorization.

106163435601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824972 (or 1824957 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 106163435601440 in words is "one hundred six trillion, one hundred sixty-three billion, four hundred thirty-five million, six hundred one thousand, four hundred forty".