105642005010 has 32 divisors (see below), whose sum is σ = 253640462400. Its totient is φ = 28160129088.

The previous prime is 105642004999. The next prime is 105642005017. The reversal of 105642005010 is 10500246501.

It is a super-2 number, since 2×105642005010² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105642005017) 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, 614272 + ... + 767211.

It is an arithmetic number, because the mean of its divisors is an integer number (7926264450).

Almost surely, 2^105642005010 is an apocalyptic number.

105642005010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105642005010 is an abundant number, since it is smaller than the sum of its proper divisors (147998457390).

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

105642005010 is a wasteful number, since it uses less digits than its factorization.

105642005010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384042.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 105642005010 in words is "one hundred five billion, six hundred forty-two million, five thousand, ten".