105255136 has 72 divisors (see below), whose sum is σ = 253811880. Its totient is φ = 42723072.

The previous prime is 105255119. The next prime is 105255149. The reversal of 105255136 is 631552501.

It is a super-2 number, since 2×105255136² = 22157287308756992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28026 + ... + 31558.

It is an arithmetic number, because the mean of its divisors is an integer number (3525165).

Almost surely, 2^105255136 is an apocalyptic number.

105255136 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 105255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126905940).

105255136 is an abundant number, since it is smaller than the sum of its proper divisors (148556744).

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

105255136 is a wasteful number, since it uses less digits than its factorization.

105255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105255136 is about 10259.3925746118. The cubic root of 105255136 is about 472.1512011997.

The spelling of 105255136 in words is "one hundred five million, two hundred fifty-five thousand, one hundred thirty-six".