10557432 has 64 divisors (see below), whose sum is σ = 30141600. Its totient is φ = 3421440.

The previous prime is 10557431. The next prime is 10557433. The reversal of 10557432 is 23475501.

It is a happy number.

10557432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10557431) and next prime (10557433).

It is a super-2 number, since 2×10557432² = 222918740869248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10557396 and 10557405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557431) 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, 7332 + ... + 8652.

Almost surely, 2^10557432 is an apocalyptic number.

10557432 is a gapful number since it is divisible by the number (12) 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 10557432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070800).

10557432 is an abundant number, since it is smaller than the sum of its proper divisors (19584168).

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

10557432 is a wasteful number, since it uses less digits than its factorization.

10557432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 10557432 is about 3249.2202141437. The cubic root of 10557432 is about 219.3744765858.

The spelling of 10557432 in words is "ten million, five hundred fifty-seven thousand, four hundred thirty-two".