106243695360 has 720 divisors, whose sum is σ = 436635682560. Its totient is φ = 24395489280.

The previous prime is 106243695347. The next prime is 106243695361. The reversal of 106243695360 is 63596342601.

106243695360 is a `hidden beast` number, since 10 + 6 + 2 + 43 + 69 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106243695360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106243695361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21666669 + ... + 21671571.

It is an arithmetic number, because the mean of its divisors is an integer number (606438448).

Almost surely, 2^106243695360 is an apocalyptic number.

106243695360 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 106243695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218317841280).

106243695360 is an abundant number, since it is smaller than the sum of its proper divisors (330391987200).

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

106243695360 is a wasteful number, since it uses less digits than its factorization.

106243695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 106243695360 in words is "one hundred six billion, two hundred forty-three million, six hundred ninety-five thousand, three hundred sixty".