106104822372 has 48 divisors (see below), whose sum is σ = 275147174400. Its totient is φ = 35360483040.

The previous prime is 106104822361. The next prime is 106104822379. The reversal of 106104822372 is 273228401601.

It is a happy number.

106104822372 is a `hidden beast` number, since 1 + 0 + 610 + 4 + 8 + 2 + 2 + 37 + 2 = 666.

It is a super-2 number, since 2×106104822372² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106104822379) 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 15 ways as a sum of consecutive naturals, for example, 395122 + ... + 606902.

It is an arithmetic number, because the mean of its divisors is an integer number (5732232800).

Almost surely, 2^106104822372 is an apocalyptic number.

106104822372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106104822372 is an abundant number, since it is smaller than the sum of its proper divisors (169042352028).

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

106104822372 is a wasteful number, since it uses less digits than its factorization.

106104822372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216433 (or 216425 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106104822372 in words is "one hundred six billion, one hundred four million, eight hundred twenty-two thousand, three hundred seventy-two".