106539552 has 144 divisors (see below), whose sum is σ = 354594240. Its totient is φ = 29707776.

The previous prime is 106539491. The next prime is 106539583. The reversal of 106539552 is 255935601.

106539552 is a `hidden beast` number, since 10 + 65 + 39 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106539552² = 22701352280721408, which 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86074 + ... + 87302.

It is an arithmetic number, because the mean of its divisors is an integer number (2462460).

Almost surely, 2^106539552 is an apocalyptic number.

106539552 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 106539552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177297120).

106539552 is an abundant number, since it is smaller than the sum of its proper divisors (248054688).

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

106539552 is a wasteful number, since it uses less digits than its factorization.

106539552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1284 counting only the distinct ones).

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

The square root of 106539552 is about 10321.7998430506. The cubic root of 106539552 is about 474.0639768369.

The spelling of 106539552 in words is "one hundred six million, five hundred thirty-nine thousand, five hundred fifty-two".