105152124 has 96 divisors (see below), whose sum is σ = 315850752. Its totient is φ = 26424000.

The previous prime is 105152111. The next prime is 105152129. The reversal of 105152124 is 421251501.

It is a super-2 number, since 2×105152124² = 22113938363422752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105152124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105152129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26809 + ... + 30479.

It is an arithmetic number, because the mean of its divisors is an integer number (3290112).

Almost surely, 2^105152124 is an apocalyptic number.

105152124 is a gapful number since it is divisible by the number (14) 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 105152124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157925376).

105152124 is an abundant number, since it is smaller than the sum of its proper divisors (210698628).

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

105152124 is a wasteful number, since it uses less digits than its factorization.

105152124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105152124 is about 10254.3709704691. The cubic root of 105152124 is about 471.9971212599.

The spelling of 105152124 in words is "one hundred five million, one hundred fifty-two thousand, one hundred twenty-four".