10506038510 has 32 divisors (see below), whose sum is σ = 21341426400. Its totient is φ = 3688639360.

The previous prime is 10506038507. The next prime is 10506038527. The reversal of 10506038510 is 1583060501.

It is a super-2 number, since 2×10506038510² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1643525 + ... + 1649904.

It is an arithmetic number, because the mean of its divisors is an integer number (666919575).

Almost surely, 2^10506038510 is an apocalyptic number.

10506038510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506038510 is an abundant number, since it is smaller than the sum of its proper divisors (10835387890).

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

10506038510 is a wasteful number, since it uses less digits than its factorization.

10506038510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293476.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 10506038510 in words is "ten billion, five hundred six million, thirty-eight thousand, five hundred ten".