10355136 has 56 divisors (see below), whose sum is σ = 29894784. Its totient is φ = 3137280.

The previous prime is 10355119. The next prime is 10355143. The reversal of 10355136 is 63155301.

It is a super-3 number, since 3×10355136³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 4563.

Almost surely, 2^10355136 is an apocalyptic number.

10355136 is a gapful number since it is divisible by the number (16) 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 10355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947392).

10355136 is an abundant number, since it is smaller than the sum of its proper divisors (19539648).

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

10355136 is a wasteful number, since it uses less digits than its factorization.

10355136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 10355136 is about 3217.9397135434. The cubic root of 10355136 is about 217.9642507942.

The spelling of 10355136 in words is "ten million, three hundred fifty-five thousand, one hundred thirty-six".