106567741200 has 240 divisors, whose sum is σ = 350696054016. Its totient is φ = 27645849600.

The previous prime is 106567741193. The next prime is 106567741207. The reversal of 106567741200 is 2147765601.

It is an interprime number because it is at equal distance from previous prime (106567741193) and next prime (106567741207).

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

It is a super-2 number, since 2×106567741200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106567741207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18348697 + ... + 18354503.

Almost surely, 2^106567741200 is an apocalyptic number.

106567741200 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 106567741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175348027008).

106567741200 is an abundant number, since it is smaller than the sum of its proper divisors (244128312816).

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

106567741200 is a wasteful number, since it uses less digits than its factorization.

106567741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 106567741200 in words is "one hundred six billion, five hundred sixty-seven million, seven hundred forty-one thousand, two hundred".