106380876553 has 6 divisors (see below), whose sum is σ = 123749182986. Its totient is φ = 91183608432.

The previous prime is 106380876551. The next prime is 106380876571. The reversal of 106380876553 is 355678083601.

It can be written as a sum of positive squares in only one way, i.e., 58471108864 + 47909767689 = 241808^2 + 218883^2 .

It is not a de Polignac number, because 106380876553 - 2¹ = 106380876551 is a prime.

It is a super-2 number, since 2×106380876553² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106380876553.

It is not an unprimeable number, because it can be changed into a prime (106380876551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1085519100 + ... + 1085519197.

It is an arithmetic number, because the mean of its divisors is an integer number (20624863831).

Almost surely, 2^106380876553 is an apocalyptic number.

It is an amenable number.

106380876553 is a deficient number, since it is larger than the sum of its proper divisors (17368306433).

106380876553 is an equidigital number, since it uses as much as digits as its factorization.

106380876553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171038311 (or 2171038304 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 106380876553 in words is "one hundred six billion, three hundred eighty million, eight hundred seventy-six thousand, five hundred fifty-three".