105554540 has 96 divisors (see below), whose sum is σ = 277724160. Its totient is φ = 32806656.

The previous prime is 105554539. The next prime is 105554629. The reversal of 105554540 is 45455501.

It is a happy number.

It is a super-2 number, since 2×105554540² = 22283521829223200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106889 + ... + 107871.

It is an arithmetic number, because the mean of its divisors is an integer number (2892960).

Almost surely, 2^105554540 is an apocalyptic number.

105554540 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 105554540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

105554540 is an abundant number, since it is smaller than the sum of its proper divisors (172169620).

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

105554540 is a wasteful number, since it uses less digits than its factorization.

105554540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The square root of 105554540 is about 10273.9739147031. The cubic root of 105554540 is about 472.5984640313.

The spelling of 105554540 in words is "one hundred five million, five hundred fifty-four thousand, five hundred forty".