106201497600 has 1080 divisors, whose sum is σ = 434817565728. Its totient is φ = 25480396800.

The previous prime is 106201497569. The next prime is 106201497601. The reversal of 106201497600 is 6794102601.

106201497600 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 1 + 49 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×106201497600² (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 not an unprimeable number, because it can be changed into a prime (106201497601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1094860752 + ... + 1094860848.

Almost surely, 2^106201497600 is an apocalyptic number.

106201497600 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 106201497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217408782864).

106201497600 is an abundant number, since it is smaller than the sum of its proper divisors (328616068128).

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

106201497600 is an frugal number, since it uses more digits than its factorization.

106201497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 106201497600 in words is "one hundred six billion, two hundred one million, four hundred ninety-seven thousand, six hundred".