106489613952 has 256 divisors, whose sum is σ = 319953110400. Its totient is φ = 35298063360.

The previous prime is 106489613939. The next prime is 106489613957. The reversal of 106489613952 is 259316984601.

106489613952 is a `hidden beast` number, since 10 + 6 + 4 + 8 + 9 + 613 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×106489613952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106489613957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55146427 + ... + 55148357.

Almost surely, 2^106489613952 is an apocalyptic number.

106489613952 is a gapful number since it is divisible by the number (12) 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 106489613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159976555200).

106489613952 is an abundant number, since it is smaller than the sum of its proper divisors (213463496448).

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

106489613952 is an frugal number, since it uses more digits than its factorization.

106489613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 106489613952 in words is "one hundred six billion, four hundred eighty-nine million, six hundred thirteen thousand, nine hundred fifty-two".