10129860 has 180 divisors, whose sum is σ = 35340228. Its totient is φ = 2426112.

The previous prime is 10129853. The next prime is 10129871. The reversal of 10129860 is 6892101.

It can be written as a sum of positive squares in 6 ways, for example, as 544644 + 9585216 = 738^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10129860² = 205228127239200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273762 + ... + 273798.

Almost surely, 2^10129860 is an apocalyptic number.

10129860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670114).

10129860 is an abundant number, since it is smaller than the sum of its proper divisors (25210368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10129860 is a wasteful number, since it uses less digits than its factorization.

10129860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10129860 is about 3182.7440990441. The cubic root of 10129860 is about 216.3720439990.

The spelling of 10129860 in words is "ten million, one hundred twenty-nine thousand, eight hundred sixty".