106242192000 has 1280 divisors, whose sum is σ = 462084480000. Its totient is φ = 24182323200.

The previous prime is 106242191983. The next prime is 106242192059. The reversal of 106242192000 is 291242601.

106242192000 is a `hidden beast` number, since 1 + 0 + 624 + 2 + 19 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×106242192000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 444527881 + ... + 444528119.

It is an arithmetic number, because the mean of its divisors is an integer number (361003500).

Almost surely, 2^106242192000 is an apocalyptic number.

106242192000 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 106242192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231042240000).

106242192000 is an abundant number, since it is smaller than the sum of its proper divisors (355842288000).

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

106242192000 is an frugal number, since it uses more digits than its factorization.

106242192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 106242192000 in words is "one hundred six billion, two hundred forty-two million, one hundred ninety-two thousand".