10507890064 has 75 divisors (see below), whose sum is σ = 23796296043. Its totient is φ = 4494770784.

The previous prime is 10507890061. The next prime is 10507890137. The reversal of 10507890064 is 46009870501.

The square root of 10507890064 is 102508.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10507890064² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10507889999 and 10507890026.

It is not an unprimeable number, because it can be changed into a prime (10507890061) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20091307 + ... + 20091829.

Almost surely, 2^10507890064 is an apocalyptic number.

10507890064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10507890064 is the 102508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507890064

10507890064 is an abundant number, since it is smaller than the sum of its proper divisors (13288405979).

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

10507890064 is an frugal number, since it uses more digits than its factorization.

10507890064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 10507890064 in words is "ten billion, five hundred seven million, eight hundred ninety thousand, sixty-four".