106552408089600 has 2112 divisors, whose sum is σ = 468879204096000. Its totient is φ = 23406664089600.

The previous prime is 106552408089599. The next prime is 106552408089653. The reversal of 106552408089600 is 6980804255601.

106552408089600 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 24 + 0 + 8 + 0 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×106552408089600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3322582366 + ... + 3322614434.

Almost surely, 2^{106552408089600} is an apocalyptic number.

106552408089600 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 106552408089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234439602048000).

106552408089600 is an abundant number, since it is smaller than the sum of its proper divisors (362326796006400).

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

106552408089600 is a wasteful number, since it uses less digits than its factorization.

106552408089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32161 (or 32132 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 106552408089600 in words is "one hundred six trillion, five hundred fifty-two billion, four hundred eight million, eighty-nine thousand, six hundred".