106655421600 has 864 divisors, whose sum is σ = 480108021120. Its totient is φ = 22499389440.

The previous prime is 106655421581. The next prime is 106655421623. The reversal of 106655421600 is 6124556601.

106655421600 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 5 + 42 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×106655421600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17687386 + ... + 17693414.

It is an arithmetic number, because the mean of its divisors is an integer number (555680580).

Almost surely, 2^106655421600 is an apocalyptic number.

106655421600 is a gapful number since it is divisible by the number (10) 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 106655421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240054010560).

106655421600 is an abundant number, since it is smaller than the sum of its proper divisors (373452599520).

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

106655421600 is a wasteful number, since it uses less digits than its factorization.

106655421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106655421600 in words is "one hundred six billion, six hundred fifty-five million, four hundred twenty-one thousand, six hundred".