105006010510 has 32 divisors (see below), whose sum is σ = 193617565920. Its totient is φ = 40989076992.

The previous prime is 105006010433. The next prime is 105006010511. The reversal of 105006010510 is 15010600501.

It is a super-2 number, since 2×105006010510² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006010511) 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, 568719 + ... + 730378.

It is an arithmetic number, because the mean of its divisors is an integer number (6050548935).

Almost surely, 2^105006010510 is an apocalyptic number.

105006010510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105006010510 is a deficient number, since it is larger than the sum of its proper divisors (88611555410).

105006010510 is a wasteful number, since it uses less digits than its factorization.

105006010510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299300.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 105006010510 in words is "one hundred five billion, six million, ten thousand, five hundred ten".