105153300 has 108 divisors (see below), whose sum is σ = 376705056. Its totient is φ = 24033600.

The previous prime is 105153299. The next prime is 105153311. The reversal of 105153300 is 3351501.

It is a happy number.

It is a super-2 number, since 2×105153300² = 22114433001780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2046 + ... + 14645.

Almost surely, 2^105153300 is an apocalyptic number.

105153300 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 105153300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188352528).

105153300 is an abundant number, since it is smaller than the sum of its proper divisors (271551756).

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

105153300 is a wasteful number, since it uses less digits than its factorization.

105153300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16718 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105153300 is about 10254.4283117100. The cubic root of 105153300 is about 471.9988808266.

The spelling of 105153300 in words is "one hundred five million, one hundred fifty-three thousand, three hundred".