106921129 has 16 divisors (see below), whose sum is σ = 125314560. Its totient is φ = 89337600.

The previous prime is 106921127. The next prime is 106921237. The reversal of 106921129 is 921129601.

It is a cyclic number.

It is not a de Polignac number, because 106921129 - 2¹ = 106921127 is a prime.

It is a super-2 number, since 2×106921129² = 22864255653269282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106921129.

It is not an unprimeable number, because it can be changed into a prime (106921121) 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 15 ways as a sum of consecutive naturals, for example, 44304 + ... + 46654.

It is an arithmetic number, because the mean of its divisors is an integer number (7832160).

Almost surely, 2^106921129 is an apocalyptic number.

It is an amenable number.

106921129 is a deficient number, since it is larger than the sum of its proper divisors (18393431).

106921129 is an equidigital number, since it uses as much as digits as its factorization.

106921129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520.

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 106921129 is about 10340.2673563114. The cubic root of 106921129 is about 474.6292641799.

The spelling of 106921129 in words is "one hundred six million, nine hundred twenty-one thousand, one hundred twenty-nine".