105476460 has 96 divisors (see below), whose sum is σ = 305206272. Its totient is φ = 27202560.

The previous prime is 105476453. The next prime is 105476513. The reversal of 105476460 is 64674501.

It is a super-2 number, since 2×105476460² = 22250567228263200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318495 + ... + 318825.

It is an arithmetic number, because the mean of its divisors is an integer number (3179232).

Almost surely, 2^105476460 is an apocalyptic number.

105476460 is a gapful number since it is divisible by the number (10) 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 105476460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152603136).

105476460 is an abundant number, since it is smaller than the sum of its proper divisors (199729812).

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

105476460 is a wasteful number, since it uses less digits than its factorization.

105476460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 105476460 is about 10270.1733188881. The cubic root of 105476460 is about 472.4819063086.

The spelling of 105476460 in words is "one hundred five million, four hundred seventy-six thousand, four hundred sixty".