100105660270000 has 400 divisors, whose sum is σ = 309540472141824. Its totient is φ = 30440736000000.

The previous prime is 100105660269931. The next prime is 100105660270027. The reversal of 100105660270000 is 72066501001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×100105660270000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29984545 + ... + 33155455.

Almost surely, 2^{100105660270000} is an apocalyptic number.

100105660270000 is a gapful number since it is divisible by the number (10) 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 100105660270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154770236070912).

100105660270000 is an abundant number, since it is smaller than the sum of its proper divisors (209434811871824).

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

100105660270000 is a wasteful number, since it uses less digits than its factorization.

100105660270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170998 (or 3170977 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 100105660270000 in words is "one hundred trillion, one hundred five billion, six hundred sixty million, two hundred seventy thousand".