101744106609216 has 448 divisors, whose sum is σ = 293693074735104. Its totient is φ = 31015200153600.

The previous prime is 101744106609137. The next prime is 101744106609221. The reversal of 101744106609216 is 612906601447101.

101744106609216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101744106609216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1355881650 + ... + 1355956686.

Almost surely, 2^{101744106609216} is an apocalyptic number.

101744106609216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101744106609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146846537367552).

101744106609216 is an abundant number, since it is smaller than the sum of its proper divisors (191948968125888).

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

101744106609216 is a wasteful number, since it uses less digits than its factorization.

101744106609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75298 (or 75288 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 101744106609216 in words is "one hundred one trillion, seven hundred forty-four billion, one hundred six million, six hundred nine thousand, two hundred sixteen".