106152807721 has 9 divisors (see below), whose sum is σ = 108693233751. Its totient is φ = 103670453712.

The previous prime is 106152807713. The next prime is 106152807727. The reversal of 106152807721 is 127708251601.

The square root of 106152807721 is 325811.

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., 699338025 + 105453469696 = 26445^2 + 324736^2 .

It is not a de Polignac number, because 106152807721 - 2³ = 106152807713 is a prime.

It is a super-2 number, since 2×106152807721² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106152807727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14006085 + ... + 14013661.

Almost surely, 2^106152807721 is an apocalyptic number.

106152807721 is the 325811-st square number.

106152807721 is the 162906-th centered octagonal number.

It is an amenable number.

106152807721 is a deficient number, since it is larger than the sum of its proper divisors (2540426030).

106152807721 is an frugal number, since it uses more digits than its factorization.

106152807721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 106152807721 in words is "one hundred six billion, one hundred fifty-two million, eight hundred seven thousand, seven hundred twenty-one".