105446920 has 32 divisors (see below), whose sum is σ = 251213400. Its totient is φ = 39697408.

The previous prime is 105446917. The next prime is 105446921. The reversal of 105446920 is 29644501.

It can be written as a sum of positive squares in 4 ways, for example, as 94517284 + 10929636 = 9722^2 + 3306^2 .

It is a super-2 number, since 2×105446920² = 22238105874972800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105446921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76855 + ... + 78214.

Almost surely, 2^105446920 is an apocalyptic number.

105446920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105446920 is an abundant number, since it is smaller than the sum of its proper divisors (145766480).

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

105446920 is a wasteful number, since it uses less digits than its factorization.

105446920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155097 (or 155093 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 105446920 is about 10268.7350730263. The cubic root of 105446920 is about 472.4377940373.

It can be divided in two parts, 1054 and 46920, that added together give a palindrome (47974).

The spelling of 105446920 in words is "one hundred five million, four hundred forty-six thousand, nine hundred twenty".