106359552 has 216 divisors, whose sum is σ = 341503344. Its totient is φ = 31629312.

The previous prime is 106359509. The next prime is 106359557. The reversal of 106359552 is 255953601.

106359552 is a `hidden beast` number, since 1 + 0 + 63 + 595 + 5 + 2 = 666.

It is a super-3 number, since 3×106359552³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (106359557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587423 + ... + 1587489.

It is an arithmetic number, because the mean of its divisors is an integer number (1581034).

Almost surely, 2^106359552 is an apocalyptic number.

106359552 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 106359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170751672).

106359552 is an abundant number, since it is smaller than the sum of its proper divisors (235143792).

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

106359552 is a wasteful number, since it uses less digits than its factorization.

106359552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 106359552 is about 10313.0767475085. The cubic root of 106359552 is about 473.7968471947.

The spelling of 106359552 in words is "one hundred six million, three hundred fifty-nine thousand, five hundred fifty-two".