106404801984 has 336 divisors, whose sum is σ = 355563159840. Its totient is φ = 31014420480.

The previous prime is 106404801973. The next prime is 106404801989. The reversal of 106404801984 is 489108404601.

It is a super-2 number, since 2×106404801984² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106404801989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8102944 + ... + 8116064.

It is an arithmetic number, because the mean of its divisors is an integer number (1058223690).

Almost surely, 2^106404801984 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 106404801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177781579920).

106404801984 is an abundant number, since it is smaller than the sum of its proper divisors (249158357856).

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

106404801984 is a wasteful number, since it uses less digits than its factorization.

106404801984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13193 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 106404801984 in words is "one hundred six billion, four hundred four million, eight hundred one thousand, nine hundred eighty-four".