106146221245134 has 48 divisors (see below), whose sum is σ = 247075235289216. Its totient is φ = 30312410814000.

The previous prime is 106146221245117. The next prime is 106146221245159. The reversal of 106146221245134 is 431542122641601.

It is a super-2 number, since 2×106146221245134² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89175442 + ... + 90357909.

It is an arithmetic number, because the mean of its divisors is an integer number (5147400735192).

Almost surely, 2^{106146221245134} is an apocalyptic number.

106146221245134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106146221245134 is an abundant number, since it is smaller than the sum of its proper divisors (140929014044082).

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

106146221245134 is a wasteful number, since it uses less digits than its factorization.

106146221245134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179535381 (or 179535374 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

Adding to 106146221245134 its reverse (431542122641601), we get a palindrome (537688343886735).

The spelling of 106146221245134 in words is "one hundred six trillion, one hundred forty-six billion, two hundred twenty-one million, two hundred forty-five thousand, one hundred thirty-four".