106373005885441 has 27 divisors (see below), whose sum is σ = 111680913413251. Its totient is φ = 101309037142544.

The previous prime is 106373005885411. The next prime is 106373005885493. The reversal of 106373005885441 is 144588500373601.

The square root of 106373005885441 is 10313729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6998823689841 + 99374182195600 = 2645529^2 + 9968660^2 .

It is not a de Polignac number, because 106373005885441 - 2²³ = 106372997496833 is a prime.

It is a super-2 number, since 2×106373005885441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106373005885411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63811040490 + ... + 63811042156.

Almost surely, 2^{106373005885441} is an apocalyptic number.

106373005885441 is the 10313729-th square number.

106373005885441 is the 5156865-th centered octagonal number.

It is an amenable number.

106373005885441 is a deficient number, since it is larger than the sum of its proper divisors (5307907527810).

106373005885441 is an frugal number, since it uses more digits than its factorization.

106373005885441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 106373005885441 in words is "one hundred six trillion, three hundred seventy-three billion, five million, eight hundred eighty-five thousand, four hundred forty-one".