106120664748 has 648 divisors, whose sum is σ = 349769452032. Its totient is φ = 27015109632.

The previous prime is 106120664681. The next prime is 106120664753. The reversal of 106120664748 is 847466021601.

106120664748 is a `hidden beast` number, since 106 + 12 + 0 + 66 + 474 + 8 = 666.

It is a super-2 number, since 2×106120664748² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1030297665 + ... + 1030297767.

Almost surely, 2^106120664748 is an apocalyptic number.

106120664748 is a gapful number since it is divisible by the number (18) 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 106120664748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174884726016).

106120664748 is an abundant number, since it is smaller than the sum of its proper divisors (243648787284).

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

106120664748 is a wasteful number, since it uses less digits than its factorization.

106120664748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 106120664748 in words is "one hundred six billion, one hundred twenty million, six hundred sixty-four thousand, seven hundred forty-eight".