106180429134780 has 3456 divisors, whose sum is σ = 468306798575616. Its totient is φ = 18775643443200.

The previous prime is 106180429134709. The next prime is 106180429134827. The reversal of 106180429134780 is 87431924081601.

106180429134780 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 0 + 4 + 291 + 347 + 8 + 0 = 666.

It is a super-2 number, since 2×106180429134780² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 836066371077 + ... + 836066371203.

Almost surely, 2^{106180429134780} is an apocalyptic number.

106180429134780 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 106180429134780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234153399287808).

106180429134780 is an abundant number, since it is smaller than the sum of its proper divisors (362126369440836).

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

106180429134780 is a wasteful number, since it uses less digits than its factorization.

106180429134780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 106180429134780 in words is "one hundred six trillion, one hundred eighty billion, four hundred twenty-nine million, one hundred thirty-four thousand, seven hundred eighty".