105493440 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 25399296.

The previous prime is 105493429. The next prime is 105493447. The reversal of 105493440 is 44394501.

It is a Cunningham number, because it is equal to 10271²-1.

It is a super-2 number, since 2×105493440² = 22257731766067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105493398 and 105493407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105493447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985867 + ... + 985973.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^105493440 is an apocalyptic number.

105493440 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 105493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

105493440 is an abundant number, since it is smaller than the sum of its proper divisors (263192640).

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

105493440 is a wasteful number, since it uses less digits than its factorization.

105493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 105493440 is about 10270.9999513192. Note that the first 4 decimals coincide. The cubic root of 105493440 is about 472.5072589238.

The spelling of 105493440 in words is "one hundred five million, four hundred ninety-three thousand, four hundred forty".