105450502200510 has 128 divisors (see below), whose sum is σ = 254709492171264. Its totient is φ = 27939602350080.

The previous prime is 105450502200503. The next prime is 105450502200551. The reversal of 105450502200510 is 15002205054501.

It is a super-2 number, since 2×105450502200510² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29729488557 + ... + 29729492103.

It is an arithmetic number, because the mean of its divisors is an integer number (1989917907588).

Almost surely, 2^{105450502200510} is an apocalyptic number.

105450502200510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105450502200510 is an abundant number, since it is smaller than the sum of its proper divisors (149258989970754).

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

105450502200510 is a wasteful number, since it uses less digits than its factorization.

105450502200510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698.

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 105450502200510 in words is "one hundred five trillion, four hundred fifty billion, five hundred two million, two hundred thousand, five hundred ten".