22100106146160 has 160 divisors (see below), whose sum is σ = 78475875793920. Its totient is φ = 5039945938944.

The previous prime is 22100106146101. The next prime is 22100106146161. The reversal of 22100106146160 is 6164160100122.

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 (22100106146161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14245197 + ... + 15720236.

It is an arithmetic number, because the mean of its divisors is an integer number (490474223712).

Almost surely, 2^{22100106146160} is an apocalyptic number.

22100106146160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100106146160 is an abundant number, since it is smaller than the sum of its proper divisors (56375769647760).

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

22100106146160 is a wasteful number, since it uses less digits than its factorization.

22100106146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29965895 (or 29965889 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 22100106146160 its reverse (6164160100122), we get a palindrome (28264266246282).

The spelling of 22100106146160 in words is "twenty-two trillion, one hundred billion, one hundred six million, one hundred forty-six thousand, one hundred sixty".