106609954800 has 240 divisors, whose sum is σ = 361126886400. Its totient is φ = 26840832000.

The previous prime is 106609954777. The next prime is 106609954811. The reversal of 106609954800 is 8459906601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106609954800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106609954800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1490251 + ... + 1560149.

It is an arithmetic number, because the mean of its divisors is an integer number (1504695360).

Almost surely, 2^106609954800 is an apocalyptic number.

106609954800 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 106609954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180563443200).

106609954800 is an abundant number, since it is smaller than the sum of its proper divisors (254516931600).

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

106609954800 is a wasteful number, since it uses less digits than its factorization.

106609954800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69992 (or 69981 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 106609954800 in words is "one hundred six billion, six hundred nine million, nine hundred fifty-four thousand, eight hundred".