105210212240 has 80 divisors (see below), whose sum is σ = 279897835392. Its totient is φ = 36028296192.

The previous prime is 105210212209. The next prime is 105210212249. The reversal of 105210212240 is 42212012501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105210212240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105210212249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349532 + ... + 576708.

Almost surely, 2^105210212240 is an apocalyptic number.

105210212240 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 105210212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139948917696).

105210212240 is an abundant number, since it is smaller than the sum of its proper divisors (174687623152).

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

105210212240 is a wasteful number, since it uses less digits than its factorization.

105210212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228024 (or 228018 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 105210212240 its reverse (42212012501), we get a palindrome (147422224741).

The spelling of 105210212240 in words is "one hundred five billion, two hundred ten million, two hundred twelve thousand, two hundred forty".