10129905 has 12 divisors (see below), whose sum is σ = 17558580. Its totient is φ = 5402592.

The previous prime is 10129871. The next prime is 10129919. The reversal of 10129905 is 50992101.

It is a happy number.

10129905 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1766241 + 8363664 = 1329^2 + 2892^2 .

It is not a de Polignac number, because 10129905 - 2⁸ = 10129649 is a prime.

It is a super-2 number, since 2×10129905² = 205229950618050, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112510 + ... + 112599.

It is an arithmetic number, because the mean of its divisors is an integer number (1463215).

Almost surely, 2^10129905 is an apocalyptic number.

10129905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10129905 is a deficient number, since it is larger than the sum of its proper divisors (7428675).

10129905 is a wasteful number, since it uses less digits than its factorization.

10129905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225120 (or 225117 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10129905 is about 3182.7511684076. The cubic root of 10129905 is about 216.3723643959.

The spelling of 10129905 in words is "ten million, one hundred twenty-nine thousand, nine hundred five".