106885388654521 has 9 divisors (see below), whose sum is σ = 107481059947983. Its totient is φ = 106293000708360.

The previous prime is 106885388654509. The next prime is 106885388654533. The reversal of 106885388654521 is 125456883588601.

The square root of 106885388654521 is 10338539.

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

It is an interprime number because it is at equal distance from previous prime (106885388654509) and next prime (106885388654533).

It can be written as a sum of positive squares in only one way, i.e., 1177791438121 + 105707597216400 = 1085261^2 + 10281420^2 .

It is not a de Polignac number, because 106885388654521 - 2⁷ = 106885388654393 is a prime.

It is a super-3 number, since 3×106885388654521³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106885388654501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1871247000 + ... + 1871304118.

Almost surely, 2^{106885388654521} is an apocalyptic number.

106885388654521 is the 10338539-th square number.

106885388654521 is the 5169270-th centered octagonal number.

It is an amenable number.

106885388654521 is a deficient number, since it is larger than the sum of its proper divisors (595671293462).

106885388654521 is an frugal number, since it uses more digits than its factorization.

106885388654521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114600 (or 57300 counting only the distinct ones).

The product of its (nonzero) digits is 442368000, while the sum is 70.

The spelling of 106885388654521 in words is "one hundred six trillion, eight hundred eighty-five billion, three hundred eighty-eight million, six hundred fifty-four thousand, five hundred twenty-one".