10600761600 has 1215 divisors, whose sum is σ = 46652045979. Its totient is φ = 2372198400.

The previous prime is 10600761547. The next prime is 10600761607. The reversal of 10600761600 is 616700601.

The square root of 10600761600 is 102960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2732361984 + 7868399616 = 52272^2 + 88704^2 .

It is a super-2 number, since 2×10600761600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10600761607) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 815443194 + ... + 815443206.

Almost surely, 2^10600761600 is an apocalyptic number.

10600761600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10600761600 is the 102960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10600761600

10600761600 is an abundant number, since it is smaller than the sum of its proper divisors (36051284379).

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

10600761600 is a wasteful number, since it uses less digits than its factorization.

10600761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10600761600 in words is "ten billion, six hundred million, seven hundred sixty-one thousand, six hundred".