96106820121 has 27 divisors (see below), whose sum is σ = 150339836829. Its totient is φ = 59135218272.

The previous prime is 96106820119. The next prime is 96106820123. The reversal of 96106820121 is 12102860169.

The square root of 96106820121 is 310011.

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

96106820121 is a `hidden beast` number, since 9 + 610 + 6 + 8 + 20 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (96106820119) and next prime (96106820123).

It can be written as a sum of positive squares in 4 ways, for example, as 15414464025 + 80692356096 = 124155^2 + 284064^2 .

It is not a de Polignac number, because 96106820121 - 2¹ = 96106820119 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96106820123) 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, 12086455 + ... + 12094403.

Almost surely, 2^96106820121 is an apocalyptic number.

96106820121 is the 310011-st square number.

96106820121 is the 155006-th centered octagonal number.

It is an amenable number.

96106820121 is a deficient number, since it is larger than the sum of its proper divisors (54233016708).

96106820121 is an frugal number, since it uses more digits than its factorization.

96106820121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15930 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 96106820121 by its sum of digits (36), we get a square (3459845524356 = 1860066²).

It can be divided in two parts, 961068 and 20121, that added together give a palindrome (981189).

The spelling of 96106820121 in words is "ninety-six billion, one hundred six million, eight hundred twenty thousand, one hundred twenty-one".