105215430 has 64 divisors (see below), whose sum is σ = 261309888. Its totient is φ = 27095040.

The previous prime is 105215419. The next prime is 105215477. The reversal of 105215430 is 34512501.

It is a super-2 number, since 2×105215430² = 22140573420169800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105215397 and 105215406.

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, 138612 + ... + 139368.

It is an arithmetic number, because the mean of its divisors is an integer number (4082967).

Almost surely, 2^105215430 is an apocalyptic number.

105215430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105215430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130654944).

105215430 is an abundant number, since it is smaller than the sum of its proper divisors (156094458).

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

105215430 is a wasteful number, since it uses less digits than its factorization.

105215430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105215430 is about 10257.4572872618. The cubic root of 105215430 is about 472.0918229620.

Adding to 105215430 its reverse (34512501), we get a palindrome (139727931).

It can be divided in two parts, 10521 and 5430, that added together give a palindrome (15951).

The spelling of 105215430 in words is "one hundred five million, two hundred fifteen thousand, four hundred thirty".