106489963584 has 63 divisors (see below), whose sum is σ = 305256703557. Its totient is φ = 35494043904.

The previous prime is 106489963549. The next prime is 106489963609. The reversal of 106489963584 is 485369984601.

The square root of 106489963584 is 326328.

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

106489963584 is a `hidden beast` number, since 1 + 0 + 6 + 48 + 9 + 9 + 6 + 3 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9564840000 + 96925123584 = 97800^2 + 311328^2 .

It is a super-2 number, since 2×106489963584² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7825074 + ... + 7838670.

Almost surely, 2^106489963584 is an apocalyptic number.

106489963584 is the 326328-th square number.

It is an amenable number.

106489963584 is an abundant number, since it is smaller than the sum of its proper divisors (198766739973).

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

106489963584 is an frugal number, since it uses more digits than its factorization.

106489963584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27212 (or 13602 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 106489963584 in words is "one hundred six billion, four hundred eighty-nine million, nine hundred sixty-three thousand, five hundred eighty-four".