106160202567010 has 32 divisors (see below), whose sum is σ = 191796438113280. Its totient is φ = 42306854936832.

The previous prime is 106160202566963. The next prime is 106160202567011. The reversal of 106160202567010 is 10765202061601.

It is a happy number.

106160202567010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106160202567010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106160202567011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848439 + ... + 14595898.

It is an arithmetic number, because the mean of its divisors is an integer number (5993638691040).

Almost surely, 2^{106160202567010} is an apocalyptic number.

106160202567010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106160202567010 is a deficient number, since it is larger than the sum of its proper divisors (85636235546270).

106160202567010 is a wasteful number, since it uses less digits than its factorization.

106160202567010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446890.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 106160202567010 in words is "one hundred six trillion, one hundred sixty billion, two hundred two million, five hundred sixty-seven thousand, ten".