106352261344 has 24 divisors (see below), whose sum is σ = 239292588528. Its totient is φ = 45579540480.

The previous prime is 106352261333. The next prime is 106352261363. The reversal of 106352261344 is 443162253601.

It is a super-2 number, since 2×106352261344² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237393217 + ... + 237393664.

It is an arithmetic number, because the mean of its divisors is an integer number (9970524522).

Almost surely, 2^106352261344 is an apocalyptic number.

106352261344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106352261344 is an abundant number, since it is smaller than the sum of its proper divisors (132940327184).

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

106352261344 is an equidigital number, since it uses as much as digits as its factorization.

106352261344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474786898 (or 474786890 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 106352261344 in words is "one hundred six billion, three hundred fifty-two million, two hundred sixty-one thousand, three hundred forty-four".