106352511440416 has 48 divisors (see below), whose sum is σ = 216604278235800. Its totient is φ = 51341947138048.

The previous prime is 106352511440389. The next prime is 106352511440423. The reversal of 106352511440416 is 614044115253601.

It can be written as a sum of positive squares in 4 ways, for example, as 106277542810000 + 74968630416 = 10309100^2 + 273804^2 .

It is a super-2 number, since 2×106352511440416² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77858616 + ... + 79212808.

Almost surely, 2^{106352511440416} is an apocalyptic number.

106352511440416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106352511440416 is an abundant number, since it is smaller than the sum of its proper divisors (110251766795384).

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

106352511440416 is a wasteful number, since it uses less digits than its factorization.

106352511440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438861 (or 1438853 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 106352511440416 in words is "one hundred six trillion, three hundred fifty-two billion, five hundred eleven million, four hundred forty thousand, four hundred sixteen".