106011635160 has 64 divisors (see below), whose sum is σ = 319051104480. Its totient is φ = 28179440640.

The previous prime is 106011635111. The next prime is 106011635161. The reversal of 106011635160 is 61536110601.

It is a super-2 number, since 2×106011635160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011635161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373671 + ... + 1448790.

Almost surely, 2^106011635160 is an apocalyptic number.

106011635160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106011635160 is an abundant number, since it is smaller than the sum of its proper divisors (213039469320).

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

106011635160 is a wasteful number, since it uses less digits than its factorization.

106011635160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822788 (or 2822784 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 106011635160 its reverse (61536110601), we get a palindrome (167547745761).

The spelling of 106011635160 in words is "one hundred six billion, eleven million, six hundred thirty-five thousand, one hundred sixty".