10165376 has 64 divisors (see below), whose sum is σ = 22491000. Its totient is φ = 4546560.

The previous prime is 10165373. The next prime is 10165381. The reversal of 10165376 is 67356101.

It can be written as a sum of positive squares in 4 ways, for example, as 2190400 + 7974976 = 1480^2 + 2824^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165373) 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, 68150 + ... + 68298.

Almost surely, 2^10165376 is an apocalyptic number.

10165376 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 10165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245500).

10165376 is an abundant number, since it is smaller than the sum of its proper divisors (12325624).

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

10165376 is a wasteful number, since it uses less digits than its factorization.

10165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 10165376 is about 3188.3186791787. The cubic root of 10165376 is about 216.6246209011.

The spelling of 10165376 in words is "ten million, one hundred sixty-five thousand, three hundred seventy-six".