10085376 has 132 divisors (see below), whose sum is σ = 31736688. Its totient is φ = 2838528.

The previous prime is 10085351. The next prime is 10085429. The reversal of 10085376 is 67358001.

It is a super-2 number, since 2×10085376² = 203429618122752, which contains 22 as substring.

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, 150495 + ... + 150561.

Almost surely, 2^10085376 is an apocalyptic number.

10085376 is a gapful number since it is divisible by the number (16) 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 10085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868344).

10085376 is an abundant number, since it is smaller than the sum of its proper divisors (21651312).

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

10085376 is an equidigital number, since it uses as much as digits as its factorization.

10085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10085376 is about 3175.7481008418. The cubic root of 10085376 is about 216.0548557521.

The spelling of 10085376 in words is "ten million, eighty-five thousand, three hundred seventy-six".