106010061051060 has 288 divisors, whose sum is σ = 348199113854592. Its totient is φ = 26009257697280.

The previous prime is 106010061051053. The next prime is 106010061051067. The reversal of 106010061051060 is 60150160010601.

106010061051060 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 0 + 6 + 1 + 0 + 51 + 0 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106010061051053) and next prime (106010061051067).

It is a super-2 number, since 2×106010061051060² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010061051067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24884064 + ... + 28831176.

It is an arithmetic number, because the mean of its divisors is an integer number (1209024700884).

Almost surely, 2^{106010061051060} is an apocalyptic number.

106010061051060 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 106010061051060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174099556927296).

106010061051060 is an abundant number, since it is smaller than the sum of its proper divisors (242189052803532).

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

106010061051060 is a wasteful number, since it uses less digits than its factorization.

106010061051060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947343 (or 3947338 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 106010061051060 in words is "one hundred six trillion, ten billion, sixty-one million, fifty-one thousand, sixty".