105153150 has 48 divisors (see below), whose sum is σ = 264697344. Its totient is φ = 27619680.

The previous prime is 105153137. The next prime is 105153157. The reversal of 105153150 is 51351501.

It is a super-2 number, since 2×105153150² = 22114369909845000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105153157) 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, 4819 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (5514528).

Almost surely, 2^105153150 is an apocalyptic number.

105153150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105153150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132348672).

105153150 is an abundant number, since it is smaller than the sum of its proper divisors (159544194).

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

105153150 is a wasteful number, since it uses less digits than its factorization.

105153150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10545 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 105153150 is about 10254.4209977941. The cubic root of 105153150 is about 471.9986563928.

The spelling of 105153150 in words is "one hundred five million, one hundred fifty-three thousand, one hundred fifty".