105413513010 has 32 divisors (see below), whose sum is σ = 272453388480. Its totient is φ = 25947941568.

The previous prime is 105413513003. The next prime is 105413513039. The reversal of 105413513010 is 10315314501.

It is a super-2 number, since 2×105413513010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135145140 + ... + 135145919.

It is an arithmetic number, because the mean of its divisors is an integer number (8514168390).

Almost surely, 2^105413513010 is an apocalyptic number.

105413513010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105413513010 is an abundant number, since it is smaller than the sum of its proper divisors (167039875470).

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

105413513010 is a wasteful number, since it uses less digits than its factorization.

105413513010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270291082.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105413513010 its reverse (10315314501), we get a palindrome (115728827511).

The spelling of 105413513010 in words is "one hundred five billion, four hundred thirteen million, five hundred thirteen thousand, ten".