105121504 has 24 divisors (see below), whose sum is σ = 207189360. Its totient is φ = 52502016.

The previous prime is 105121501. The next prime is 105121517. The reversal of 105121504 is 405121501.

It is a super-2 number, since 2×105121504² = 22101061206444032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48312 + ... + 50440.

It is an arithmetic number, because the mean of its divisors is an integer number (8632890).

Almost surely, 2^105121504 is an apocalyptic number.

It is an amenable number.

105121504 is a deficient number, since it is larger than the sum of its proper divisors (102067856).

105121504 is a wasteful number, since it uses less digits than its factorization.

105121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105121504 is about 10252.8778399043. The cubic root of 105121504 is about 471.9513020715.

It can be divided in two parts, 105121 and 504, that added together give a square (105625 = 325²).

The spelling of 105121504 in words is "one hundred five million, one hundred twenty-one thousand, five hundred four".