105061536 has 144 divisors (see below), whose sum is σ = 316461600. Its totient is φ = 34276608.

The previous prime is 105061531. The next prime is 105061553. The reversal of 105061536 is 635160501.

It is a happy number.

105061536 is a `hidden beast` number, since 1 + 0 + 506 + 153 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105061536² = 22075852693358592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105061531) 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, 458670 + ... + 458898.

It is an arithmetic number, because the mean of its divisors is an integer number (2197650).

Almost surely, 2^105061536 is an apocalyptic number.

105061536 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 105061536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158230800).

105061536 is an abundant number, since it is smaller than the sum of its proper divisors (211400064).

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

105061536 is an equidigital number, since it uses as much as digits as its factorization.

105061536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105061536 is about 10249.9529755019. The cubic root of 105061536 is about 471.8615413088.

The spelling of 105061536 in words is "one hundred five million, sixty-one thousand, five hundred thirty-six".