106435255460 has 48 divisors (see below), whose sum is σ = 237000057840. Its totient is φ = 40012492800.

The previous prime is 106435255439. The next prime is 106435255463. The reversal of 106435255460 is 64552534601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1131111424 + 105304144036 = 33632^2 + 324506^2 .

It is a super-2 number, since 2×106435255460² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106435255463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15056 + ... + 461624.

It is an arithmetic number, because the mean of its divisors is an integer number (4937501205).

Almost surely, 2^106435255460 is an apocalyptic number.

106435255460 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 106435255460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118500028920).

106435255460 is an abundant number, since it is smaller than the sum of its proper divisors (130564802380).

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

106435255460 is a wasteful number, since it uses less digits than its factorization.

106435255460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447296 (or 447294 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 106435255460 in words is "one hundred six billion, four hundred thirty-five million, two hundred fifty-five thousand, four hundred sixty".