53105136 has 80 divisors (see below), whose sum is σ = 159418368. Its totient is φ = 14918400.

The previous prime is 53105131. The next prime is 53105147. The reversal of 53105136 is 63150135.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53105131) 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, 19201 + ... + 21791.

Almost surely, 2^53105136 is an apocalyptic number.

53105136 is a gapful number since it is divisible by the number (56) 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 53105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79709184).

53105136 is an abundant number, since it is smaller than the sum of its proper divisors (106313232).

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

53105136 is a wasteful number, since it uses less digits than its factorization.

53105136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2664 counting only the distinct ones).

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

The square root of 53105136 is about 7287.3270819965. The cubic root of 53105136 is about 375.8767892661.

It can be divided in two parts, 531051 and 36, that multiplied together give a triangular number (19117836 = T₆₁₈₃).

The spelling of 53105136 in words is "fifty-three million, one hundred five thousand, one hundred thirty-six".