106026129 has 48 divisors (see below), whose sum is σ = 172658304. Its totient is φ = 62668320.

The previous prime is 106026119. The next prime is 106026131. The reversal of 106026129 is 921620601.

It is not a de Polignac number, because 106026129 - 2⁵ = 106026097 is a prime.

It is a super-2 number, since 2×106026129² = 22483080061449282, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (106026119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634804 + ... + 634970.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^106026129 is an apocalyptic number.

It is an amenable number.

106026129 is a deficient number, since it is larger than the sum of its proper divisors (66632175).

106026129 is a wasteful number, since it uses less digits than its factorization.

106026129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106026129 is about 10296.8989992133. The cubic root of 106026129 is about 473.3012323113.

The spelling of 106026129 in words is "one hundred six million, twenty-six thousand, one hundred twenty-nine".