106848176228640 has 3072 divisors, whose sum is σ = 505593678643200. Its totient is φ = 20402631475200.

The previous prime is 106848176228617. The next prime is 106848176228653. The reversal of 106848176228640 is 46822671848601.

It is a happy number.

106848176228640 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 481 + 76 + 2 + 2 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×106848176228640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 121833723882 + ... + 121833724758.

It is an arithmetic number, because the mean of its divisors is an integer number (164581275600).

Almost surely, 2^{106848176228640} is an apocalyptic number.

106848176228640 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 106848176228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252796839321600).

106848176228640 is an abundant number, since it is smaller than the sum of its proper divisors (398745502414560).

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

106848176228640 is a wasteful number, since it uses less digits than its factorization.

106848176228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 106848176228640 in words is "one hundred six trillion, eight hundred forty-eight billion, one hundred seventy-six million, two hundred twenty-eight thousand, six hundred forty".