105153324 has 12 divisors (see below), whose sum is σ = 245357784. Its totient is φ = 35051104.

The previous prime is 105153311. The next prime is 105153337. The reversal of 105153324 is 423351501.

It is an interprime number because it is at equal distance from previous prime (105153311) and next prime (105153337).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105153324² = 22114443096497952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105153294 and 105153303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4381377 + ... + 4381400.

It is an arithmetic number, because the mean of its divisors is an integer number (20446482).

Almost surely, 2^105153324 is an apocalyptic number.

It is an amenable number.

105153324 is an abundant number, since it is smaller than the sum of its proper divisors (140204460).

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

105153324 is a wasteful number, since it uses less digits than its factorization.

105153324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762784 (or 8762782 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105153324 is about 10254.4294819361. The cubic root of 105153324 is about 471.9989167360.

The spelling of 105153324 in words is "one hundred five million, one hundred fifty-three thousand, three hundred twenty-four".