101007645489 has 63 divisors (see below), whose sum is σ = 154419773403. Its totient is φ = 66039830064.

The previous prime is 101007645467. The next prime is 101007645491. The reversal of 101007645489 is 984546700101.

The square root of 101007645489 is 317817.

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

101007645489 is a `hidden beast` number, since 1 + 0 + 100 + 7 + 64 + 5 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11833741089 + 89173904400 = 108783^2 + 298620^2 .

It is not a de Polignac number, because 101007645489 - 2²¹ = 101005548337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101007645419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 677903587 + ... + 677903735.

Almost surely, 2^101007645489 is an apocalyptic number.

101007645489 is the 317817-th square number.

101007645489 is the 158909-th centered octagonal number.

It is an amenable number.

101007645489 is a deficient number, since it is larger than the sum of its proper divisors (53412127914).

101007645489 is an frugal number, since it uses more digits than its factorization.

101007645489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 101007 and 645489, that added together give a square (746496 = 864²).

The spelling of 101007645489 in words is "one hundred one billion, seven million, six hundred forty-five thousand, four hundred eighty-nine".