106775829787904 has 72 divisors (see below), whose sum is σ = 216391387288608. Its totient is φ = 52572674119680.

The previous prime is 106775829787883. The next prime is 106775829787931. The reversal of 106775829787904 is 409787928577601.

It is a super-2 number, since 2×106775829787904² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47983919 + ... + 50159825.

It is an arithmetic number, because the mean of its divisors is an integer number (3005435934564).

Almost surely, 2^{106775829787904} 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 106775829787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108195693644304).

106775829787904 is an abundant number, since it is smaller than the sum of its proper divisors (109615557500704).

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

106775829787904 is an equidigital number, since it uses as much as digits as its factorization.

106775829787904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178851 (or 2178837 counting only the distinct ones).

The product of its (nonzero) digits is 2987228160, while the sum is 80.

The spelling of 106775829787904 in words is "one hundred six trillion, seven hundred seventy-five billion, eight hundred twenty-nine million, seven hundred eighty-seven thousand, nine hundred four".