106070165501760 has 672 divisors, whose sum is σ = 382598889603840. Its totient is φ = 26947576627200.

The previous prime is 106070165501701. The next prime is 106070165501767. The reversal of 106070165501760 is 67105561070601.

106070165501760 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 70 + 1 + 6 + 5 + 501 + 76 + 0 = 666.

It is a super-2 number, since 2×106070165501760² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106070165501767) 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, 1001147349 + ... + 1001253291.

It is an arithmetic number, because the mean of its divisors is an integer number (569343585720).

Almost surely, 2^{106070165501760} is an apocalyptic number.

106070165501760 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 106070165501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191299444801920).

106070165501760 is an abundant number, since it is smaller than the sum of its proper divisors (276528724102080).

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

106070165501760 is a wasteful number, since it uses less digits than its factorization.

106070165501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106207 (or 106194 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 106070165501760 in words is "one hundred six trillion, seventy billion, one hundred sixty-five million, five hundred one thousand, seven hundred sixty".