10357020 has 72 divisors (see below), whose sum is σ = 31698576. Its totient is φ = 2737152.

The previous prime is 10356971. The next prime is 10357027. The reversal of 10357020 is 2075301.

It is a super-3 number, since 3×10357020³ (a number of 22 digits) contains 333 as substring.

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 = 10356984 and 10357002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29164 + ... + 29516.

It is an arithmetic number, because the mean of its divisors is an integer number (440258).

Almost surely, 2^10357020 is an apocalyptic number.

10357020 is a gapful number since it is divisible by the number (10) 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 10357020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849288).

10357020 is an abundant number, since it is smaller than the sum of its proper divisors (21341556).

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

10357020 is a wasteful number, since it uses less digits than its factorization.

10357020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10357020 is about 3218.2324341166. The cubic root of 10357020 is about 217.9774687035.

The spelling of 10357020 in words is "ten million, three hundred fifty-seven thousand, twenty".