10123764 has 48 divisors (see below), whose sum is σ = 27181056. Its totient is φ = 2872800.

The previous prime is 10123717. The next prime is 10123769. The reversal of 10123764 is 46732101.

It is a super-3 number, since 3×10123764³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15729 + ... + 16359.

It is an arithmetic number, because the mean of its divisors is an integer number (566272).

Almost surely, 2^10123764 is an apocalyptic number.

10123764 is a gapful number since it is divisible by the number (14) 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 10123764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590528).

10123764 is an abundant number, since it is smaller than the sum of its proper divisors (17057292).

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

10123764 is a wasteful number, since it uses less digits than its factorization.

10123764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10123764 is about 3181.7862907493. The cubic root of 10123764 is about 216.3286321238.

Adding to 10123764 its reverse (46732101), we get a palindrome (56855865).

The spelling of 10123764 in words is "ten million, one hundred twenty-three thousand, seven hundred sixty-four".