106162928640 has 704 divisors, whose sum is σ = 402849600000. Its totient is φ = 26766360576.

The previous prime is 106162928633. The next prime is 106162928681. The reversal of 106162928640 is 46829261601.

106162928640 is a `hidden beast` number, since 1 + 0 + 616 + 2 + 9 + 28 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×106162928640³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212751111 + ... + 212751609.

Almost surely, 2^106162928640 is an apocalyptic number.

106162928640 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 106162928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201424800000).

106162928640 is an abundant number, since it is smaller than the sum of its proper divisors (296686671360).

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

106162928640 is an frugal number, since it uses more digits than its factorization.

106162928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 106162928640 in words is "one hundred six billion, one hundred sixty-two million, nine hundred twenty-eight thousand, six hundred forty".