10114624 has 28 divisors (see below), whose sum is σ = 21616924. Its totient is φ = 4667904.

The previous prime is 10114619. The next prime is 10114627. The reversal of 10114624 is 42641101.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 9193024 = 960^2 + 3032^2 .

It is a super-2 number, since 2×10114624² = 204611237322752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10114627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5247 + ... + 6910.

It is an arithmetic number, because the mean of its divisors is an integer number (772033).

Almost surely, 2^10114624 is an apocalyptic number.

It is an amenable number.

10114624 is an abundant number, since it is smaller than the sum of its proper divisors (11502300).

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

10114624 is a wasteful number, since it uses less digits than its factorization.

10114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12182 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10114624 is about 3180.3496663103. The cubic root of 10114624 is about 216.2635101319.

Adding to 10114624 its reverse (42641101), we get a palindrome (52755725).

It can be divided in two parts, 10114 and 624, that multiplied together give a palindrome (6311136).

The spelling of 10114624 in words is "ten million, one hundred fourteen thousand, six hundred twenty-four".