105537468 has 48 divisors (see below), whose sum is σ = 254185344. Its totient is φ = 34056000.

The previous prime is 105537449. The next prime is 105537473. The reversal of 105537468 is 864735501.

It is a super-2 number, since 2×105537468² = 22276314303702048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110971 + ... + 111917.

It is an arithmetic number, because the mean of its divisors is an integer number (5295528).

Almost surely, 2^105537468 is an apocalyptic number.

It is an amenable number.

105537468 is an abundant number, since it is smaller than the sum of its proper divisors (148647876).

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

105537468 is a wasteful number, since it uses less digits than its factorization.

105537468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 105537468 is about 10273.1430438790. The cubic root of 105537468 is about 472.5729838830.

The spelling of 105537468 in words is "one hundred five million, five hundred thirty-seven thousand, four hundred sixty-eight".