106060021544160 has 768 divisors, whose sum is σ = 382132627430400. Its totient is φ = 27457582694400.

The previous prime is 106060021544137. The next prime is 106060021544161. The reversal of 106060021544160 is 61445120060601.

106060021544160 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 600 + 2 + 1 + 5 + 4 + 41 + 6 + 0 = 666.

It is a super-2 number, since 2×106060021544160² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060021544161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43990053355 + ... + 43990055765.

It is an arithmetic number, because the mean of its divisors is an integer number (497568525300).

Almost surely, 2^{106060021544160} is an apocalyptic number.

106060021544160 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 106060021544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191066313715200).

106060021544160 is an abundant number, since it is smaller than the sum of its proper divisors (276072605886240).

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

106060021544160 is a wasteful number, since it uses less digits than its factorization.

106060021544160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106060021544160 in words is "one hundred six trillion, sixty billion, twenty-one million, five hundred forty-four thousand, one hundred sixty".