10512357700 has 108 divisors (see below), whose sum is σ = 25042868508. Its totient is φ = 3827865600.

The previous prime is 10512357689. The next prime is 10512357707. The reversal of 10512357700 is 775321501.

It can be written as a sum of positive squares in 18 ways, for example, as 9715650624 + 796707076 = 98568^2 + 28226^2 .

It is a super-2 number, since 2×10512357700² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10512357707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1229440 + ... + 1237960.

Almost surely, 2^10512357700 is an apocalyptic number.

10512357700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10512357700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521434254).

10512357700 is an abundant number, since it is smaller than the sum of its proper divisors (14530510808).

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

10512357700 is a wasteful number, since it uses less digits than its factorization.

10512357700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

It can be divided in two parts, 10512 and 357700, that multiplied together give a square (3760142400 = 61320²).

The spelling of 10512357700 in words is "ten billion, five hundred twelve million, three hundred fifty-seven thousand, seven hundred".