105263040 has 224 divisors, whose sum is σ = 365760000. Its totient is φ = 25546752.

The previous prime is 105263023. The next prime is 105263063. The reversal of 105263040 is 40362501.

It is a happy number.

It is a super-2 number, since 2×105263040² = 22160615180083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105262998 and 105263016.

It is a congruent number.

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, 528861 + ... + 529059.

Almost surely, 2^105263040 is an apocalyptic number.

105263040 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 105263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182880000).

105263040 is an abundant number, since it is smaller than the sum of its proper divisors (260496960).

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

105263040 is a wasteful number, since it uses less digits than its factorization.

105263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105263040 is about 10259.7777753712. Note that the first 5 decimals coincide. The cubic root of 105263040 is about 472.1630194344.

The spelling of 105263040 in words is "one hundred five million, two hundred sixty-three thousand, forty".