106235615552 has 112 divisors (see below), whose sum is σ = 251901472320. Its totient is φ = 43881062400.

The previous prime is 106235615543. The next prime is 106235615593. The reversal of 106235615552 is 255516532601.

It is a super-3 number, since 3×106235615552³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194027 + ... + 500117.

Almost surely, 2^106235615552 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 106235615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125950736160).

106235615552 is an abundant number, since it is smaller than the sum of its proper divisors (145665856768).

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

106235615552 is a wasteful number, since it uses less digits than its factorization.

106235615552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306160 (or 306150 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 106235615552 in words is "one hundred six billion, two hundred thirty-five million, six hundred fifteen thousand, five hundred fifty-two".