10681515 has 72 divisors (see below), whose sum is σ = 21687120. Its totient is φ = 4821120.

The previous prime is 10681507. The next prime is 10681523. The reversal of 10681515 is 51518601.

It is an interprime number because it is at equal distance from previous prime (10681507) and next prime (10681523).

It is not a de Polignac number, because 10681515 - 2³ = 10681507 is a prime.

It is a super-2 number, since 2×10681515² = 228189525390450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344550 + ... + 344580.

It is an arithmetic number, because the mean of its divisors is an integer number (301210).

Almost surely, 2^10681515 is an apocalyptic number.

10681515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10681515 is an abundant number, since it is smaller than the sum of its proper divisors (11005605).

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

10681515 is a wasteful number, since it uses less digits than its factorization.

10681515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 10681515 is about 3268.2587106898. The cubic root of 10681515 is about 220.2305778106.

The spelling of 10681515 in words is "ten million, six hundred eighty-one thousand, five hundred fifteen".