101280516516 has 243 divisors, whose sum is σ = 278698558593. Its totient is φ = 31009890240.

The previous prime is 101280516511. The next prime is 101280516517. The reversal of 101280516516 is 615615082101.

The square root of 101280516516 is 318246.

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

101280516516 is a `hidden beast` number, since 1 + 0 + 12 + 80 + 51 + 6 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53109046116 + 48171470400 = 230454^2 + 219480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101280516511) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1716618895 + ... + 1716618953.

Almost surely, 2^101280516516 is an apocalyptic number.

101280516516 is the 318246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101280516516

101280516516 is an abundant number, since it is smaller than the sum of its proper divisors (177418042077).

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

101280516516 is a wasteful number, since it uses less digits than its factorization.

101280516516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Multiplying 101280516516 by its sum of digits (36), we get a square (3646098594576 = 1909476²).

101280516516 divided by its sum of digits (36) gives a square (2813347681 = 53041²).

Adding to 101280516516 its reverse (615615082101), we get a palindrome (716895598617).

It can be divided in two parts, 101280 and 516516, that added together give a square (617796 = 786²).

The spelling of 101280516516 in words is "one hundred one billion, two hundred eighty million, five hundred sixteen thousand, five hundred sixteen".