10357038 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 3183840.

The previous prime is 10357027. The next prime is 10357043. The reversal of 10357038 is 83075301.

It is a super-3 number, since 3×10357038³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38368 + ... + 38636.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 2^10357038 is an apocalyptic number.

10357038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10357038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

10357038 is an abundant number, since it is smaller than the sum of its proper divisors (14526162).

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

10357038 is a wasteful number, since it uses less digits than its factorization.

10357038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10357038 is about 3218.2352306816. The cubic root of 10357038 is about 217.9775949816.

The spelling of 10357038 in words is "ten million, three hundred fifty-seven thousand, thirty-eight".