100937848649089 has 27 divisors (see below), whose sum is σ = 102452982873057. Its totient is φ = 99445067490600.

The previous prime is 100937848649047. The next prime is 100937848649101. The reversal of 100937848649089 is 980946848739001.

The square root of 100937848649089 is 10046783.

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

It is not a de Polignac number, because 100937848649089 - 2⁹ = 100937848648577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100937848640089) 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, 356670843142 + ... + 356670843424.

Almost surely, 2^{100937848649089} is an apocalyptic number.

100937848649089 is the 10046783-rd square number.

100937848649089 is the 5023392-nd centered octagonal number.

It is an amenable number.

100937848649089 is a deficient number, since it is larger than the sum of its proper divisors (1515134223968).

100937848649089 is an frugal number, since it uses more digits than its factorization.

100937848649089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 76.

The spelling of 100937848649089 in words is "one hundred trillion, nine hundred thirty-seven billion, eight hundred forty-eight million, six hundred forty-nine thousand, eighty-nine".