10505153010 has 64 divisors (see below), whose sum is σ = 28952017920. Its totient is φ = 2412665280.

The previous prime is 10505152967. The next prime is 10505153011. The reversal of 10505153010 is 1035150501.

It is a super-2 number, since 2×10505153010² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505153011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831462 + ... + 844001.

It is an arithmetic number, because the mean of its divisors is an integer number (452375280).

Almost surely, 2^10505153010 is an apocalyptic number.

10505153010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505153010 is an abundant number, since it is smaller than the sum of its proper divisors (18446864910).

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

10505153010 is a wasteful number, since it uses less digits than its factorization.

10505153010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675503.

The product of its (nonzero) digits is 375, while the sum is 21.

The spelling of 10505153010 in words is "ten billion, five hundred five million, one hundred fifty-three thousand, ten".