105135000 has 160 divisors (see below), whose sum is σ = 338141760. Its totient is φ = 27216000.

The previous prime is 105134989. The next prime is 105135011. The reversal of 105135000 is 531501.

It is an interprime number because it is at equal distance from previous prime (105134989) and next prime (105135011).

It is a super-2 number, since 2×105135000² = 22106736450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644919 + ... + 645081.

It is an arithmetic number, because the mean of its divisors is an integer number (2113386).

Almost surely, 2^105135000 is an apocalyptic number.

105135000 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 105135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169070880).

105135000 is an abundant number, since it is smaller than the sum of its proper divisors (233006760).

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

105135000 is a wasteful number, since it uses less digits than its factorization.

105135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105135000 is about 10253.5359754574. The cubic root of 105135000 is about 471.9714983268.

Adding to 105135000 its reverse (531501), we get a palindrome (105666501).

The spelling of 105135000 in words is "one hundred five million, one hundred thirty-five thousand".