2129105007 has 28 divisors (see below), whose sum is σ = 3379993200. Its totient is φ = 1335901248.

The previous prime is 2129104997. The next prime is 2129105039. The reversal of 2129105007 is 7005019212.

It is not a de Polignac number, because 2129105007 - 2⁸ = 2129104751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129105087) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 73507 + ... + 98292.

Almost surely, 2^2129105007 is an apocalyptic number.

2129105007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2129105007 is a deficient number, since it is larger than the sum of its proper divisors (1250888193).

2129105007 is an equidigital number, since it uses as much as digits as its factorization.

2129105007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171834 (or 171819 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2129105007 is about 46142.2258565839. The cubic root of 2129105007 is about 1286.4681160763.

The spelling of 2129105007 in words is "two billion, one hundred twenty-nine million, one hundred five thousand, seven".