105215432520 has 128 divisors (see below), whose sum is σ = 350838656640. Its totient is φ = 25025495040.

The previous prime is 105215432507. The next prime is 105215432521. The reversal of 105215432520 is 25234512501.

It is a super-2 number, since 2×105215432520² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105215432521) 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, 682009 + ... + 821928.

It is an arithmetic number, because the mean of its divisors is an integer number (2740927005).

Almost surely, 2^105215432520 is an apocalyptic number.

105215432520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105215432520 is an abundant number, since it is smaller than the sum of its proper divisors (245623224120).

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

105215432520 is a wasteful number, since it uses less digits than its factorization.

105215432520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504015 (or 1504011 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

It can be divided in two parts, 105215 and 432520, that added together give a palindrome (537735).

The spelling of 105215432520 in words is "one hundred five billion, two hundred fifteen million, four hundred thirty-two thousand, five hundred twenty".