106616203872 has 48 divisors (see below), whose sum is σ = 279888037632. Its totient is φ = 35536131200.

The previous prime is 106616203871. The next prime is 106616203913. The reversal of 106616203872 is 278302616601.

106616203872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×106616203872³ (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 not an unprimeable number, because it can be changed into a prime (106616203871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1633693 + ... + 1697699.

It is an arithmetic number, because the mean of its divisors is an integer number (5831000784).

Almost surely, 2^106616203872 is an apocalyptic number.

106616203872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106616203872 is an abundant number, since it is smaller than the sum of its proper divisors (173271833760).

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

106616203872 is a wasteful number, since it uses less digits than its factorization.

106616203872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81371 (or 81363 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 106616203872 in words is "one hundred six billion, six hundred sixteen million, two hundred three thousand, eight hundred seventy-two".