106746167420160 has 576 divisors, whose sum is σ = 357959328330240. Its totient is φ = 27058917867520.

The previous prime is 106746167420071. The next prime is 106746167420197. The reversal of 106746167420160 is 61024761647601.

It is a super-2 number, since 2×106746167420160² (a number of 29 digits) contains 22 as substring.

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, 9654165352 + ... + 9654176408.

It is an arithmetic number, because the mean of its divisors is an integer number (621457167240).

Almost surely, 2^{106746167420160} is an apocalyptic number.

106746167420160 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 106746167420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178979664165120).

106746167420160 is an abundant number, since it is smaller than the sum of its proper divisors (251213160910080).

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

106746167420160 is a wasteful number, since it uses less digits than its factorization.

106746167420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 106746167420160 in words is "one hundred six trillion, seven hundred forty-six billion, one hundred sixty-seven million, four hundred twenty thousand, one hundred sixty".