101948658436 has 27 divisors (see below), whose sum is σ = 189542386677. Its totient is φ = 47970730560.

The previous prime is 101948658433. The next prime is 101948658457. The reversal of 101948658436 is 634856849101.

The square root of 101948658436 is 319294.

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

It can be written as a sum of positive squares in only one way, i.e., 79371792900 + 22576865536 = 281730^2 + 150256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101948658433) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10851301 + ... + 10860691.

Almost surely, 2^101948658436 is an apocalyptic number.

101948658436 is the 319294-th square number.

It is an amenable number.

101948658436 is a deficient number, since it is larger than the sum of its proper divisors (87593728241).

101948658436 is an frugal number, since it uses more digits than its factorization.

101948658436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18820 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

It can be divided in two parts, 101948 and 658436, that added together give a square (760384 = 872²).

The spelling of 101948658436 in words is "one hundred one billion, nine hundred forty-eight million, six hundred fifty-eight thousand, four hundred thirty-six".