10123456 has 56 divisors (see below), whose sum is σ = 23408640. Its totient is φ = 4253952.

The previous prime is 10123439. The next prime is 10123457. The reversal of 10123456 is 65432101.

10123456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10123456² = 204968722767872, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123457) 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, 26241 + ... + 26623.

Almost surely, 2^10123456 is an apocalyptic number.

10123456 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 10123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

10123456 is an abundant number, since it is smaller than the sum of its proper divisors (13285184).

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

10123456 is an equidigital number, since it uses as much as digits as its factorization.

10123456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10123456 is about 3181.7378898960. The cubic root of 10123456 is about 216.3264382793.

Adding to 10123456 its reverse (65432101), we get a palindrome (75555557).

The spelling of 10123456 in words is "ten million, one hundred twenty-three thousand, four hundred fifty-six".