106192282560 has 672 divisors, whose sum is σ = 424894321152. Its totient is φ = 22272122880.

The previous prime is 106192282523. The next prime is 106192282561. The reversal of 106192282560 is 65282291601.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106192282560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106192282561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129030309 + ... + 129031131.

It is an arithmetic number, because the mean of its divisors is an integer number (632283216).

Almost surely, 2^106192282560 is an apocalyptic number.

106192282560 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 106192282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212447160576).

106192282560 is an abundant number, since it is smaller than the sum of its proper divisors (318702038592).

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

106192282560 is a wasteful number, since it uses less digits than its factorization.

106192282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 106192282560 in words is "one hundred six billion, one hundred ninety-two million, two hundred eighty-two thousand, five hundred sixty".