101105962496704 has 448 divisors, whose sum is σ = 234050378784768. Its totient is φ = 42898835865600.

The previous prime is 101105962496701. The next prime is 101105962496711. The reversal of 101105962496704 is 407694269501101.

It is not an unprimeable number, because it can be changed into a prime (101105962496701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92165872284 + ... + 92165873380.

It is an arithmetic number, because the mean of its divisors is an integer number (522433881216).

Almost surely, 2^{101105962496704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101105962496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117025189392384).

101105962496704 is an abundant number, since it is smaller than the sum of its proper divisors (132944416288064).

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

101105962496704 is a wasteful number, since it uses less digits than its factorization.

101105962496704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 101105962496704 in words is "one hundred one trillion, one hundred five billion, nine hundred sixty-two million, four hundred ninety-six thousand, seven hundred four".