105201240 has 32 divisors (see below), whose sum is σ = 315604080. Its totient is φ = 28053632.

The previous prime is 105201227. The next prime is 105201269. The reversal of 105201240 is 42102501.

It is a super-3 number, since 3×105201240³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 438219 + ... + 438458.

Almost surely, 2^105201240 is an apocalyptic number.

105201240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105201240 is an abundant number, since it is smaller than the sum of its proper divisors (210402840).

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

105201240 is a wasteful number, since it uses less digits than its factorization.

105201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876691 (or 876687 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105201240 is about 10256.7655720505. The cubic root of 105201240 is about 472.0705989389.

Adding to 105201240 its reverse (42102501), we get a palindrome (147303741).

The spelling of 105201240 in words is "one hundred five million, two hundred one thousand, two hundred forty".