10612129 has 8 divisors (see below), whose sum is σ = 11655360. Its totient is φ = 9582000.

The previous prime is 10612123. The next prime is 10612139. The reversal of 10612129 is 92121601.

10612129 = 551² + 552² + ... + 583².

10612129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10612129 - 2⁷ = 10612001 is a prime.

It is a super-2 number, since 2×10612129² = 225234563825282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10612123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1534 + ... + 4855.

It is an arithmetic number, because the mean of its divisors is an integer number (1456920).

Almost surely, 2^10612129 is an apocalyptic number.

It is an amenable number.

10612129 is a deficient number, since it is larger than the sum of its proper divisors (1043231).

10612129 is a wasteful number, since it uses less digits than its factorization.

10612129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10612129 is about 3257.6262830472. The cubic root of 10612129 is about 219.7526766094.

The spelling of 10612129 in words is "ten million, six hundred twelve thousand, one hundred twenty-nine".