10122624 has 128 divisors (see below), whose sum is σ = 31212000. Its totient is φ = 3225600.

The previous prime is 10122617. The next prime is 10122631. The reversal of 10122624 is 42622101.

It is an interprime number because it is at equal distance from previous prime (10122617) and next prime (10122631).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10122597 and 10122606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100174 + ... + 100274.

Almost surely, 2^10122624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606000).

10122624 is an abundant number, since it is smaller than the sum of its proper divisors (21089376).

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

10122624 is a wasteful number, since it uses less digits than its factorization.

10122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10122624 is about 3181.6071410531. The cubic root of 10122624 is about 216.3205118273.

Adding to 10122624 its reverse (42622101), we get a palindrome (52744725).

The spelling of 10122624 in words is "ten million, one hundred twenty-two thousand, six hundred twenty-four".