106661501600 has 72 divisors (see below), whose sum is σ = 268787046528. Its totient is φ = 41288313600.

The previous prime is 106661501581. The next prime is 106661501621. The reversal of 106661501600 is 6105166601.

106661501600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106661501600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125634 + ... + 2175233.

It is an arithmetic number, because the mean of its divisors is an integer number (3733153424).

Almost surely, 2^106661501600 is an apocalyptic number.

106661501600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106661501600 is an abundant number, since it is smaller than the sum of its proper divisors (162125544928).

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

106661501600 is a wasteful number, since it uses less digits than its factorization.

106661501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300918 (or 4300905 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 106661501600 in words is "one hundred six billion, six hundred sixty-one million, five hundred one thousand, six hundred".