106109322552 has 192 divisors, whose sum is σ = 314458990560. Its totient is φ = 32191488000.

The previous prime is 106109322547. The next prime is 106109322587. The reversal of 106109322552 is 255223901601.

It is a happy number.

106109322552 is a `hidden beast` number, since 1 + 0 + 6 + 10 + 93 + 2 + 2 + 552 = 666.

It is a super-2 number, since 2×106109322552² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5305852 + ... + 5325812.

Almost surely, 2^106109322552 is an apocalyptic number.

106109322552 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 106109322552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157229495280).

106109322552 is an abundant number, since it is smaller than the sum of its proper divisors (208349668008).

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

106109322552 is a wasteful number, since it uses less digits than its factorization.

106109322552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20134 (or 20127 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106109322552 in words is "one hundred six billion, one hundred nine million, three hundred twenty-two thousand, five hundred fifty-two".