106501711716 has 81 divisors (see below), whose sum is σ = 272250750681. Its totient is φ = 35104386528.

The previous prime is 106501711711. The next prime is 106501711747. The reversal of 106501711716 is 617117105601.

The square root of 106501711716 is 326346.

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

106501711716 is a `hidden beast` number, since 10 + 6 + 501 + 71 + 1 + 71 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74231182116 + 32270529600 = 272454^2 + 179640^2 .

It is a super-2 number, since 2×106501711716² (a number of 23 digits) contains 22 as substring.

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 (106501711711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213430035 + ... + 213430533.

Almost surely, 2^106501711716 is an apocalyptic number.

106501711716 is the 326346-th square number.

It is an amenable number.

106501711716 is an abundant number, since it is smaller than the sum of its proper divisors (165749038965).

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

106501711716 is an equidigital number, since it uses as much as digits as its factorization.

106501711716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

Multiplying 106501711716 by its sum of digits (36), we get a square (3834061621776 = 1958076²).

106501711716 divided by its sum of digits (36) gives a square (2958380881 = 54391²).

The spelling of 106501711716 in words is "one hundred six billion, five hundred one million, seven hundred eleven thousand, seven hundred sixteen".