108406656011700 has 216 divisors, whose sum is σ = 357893743334400. Its totient is φ = 27370469099520.

The previous prime is 108406656011663. The next prime is 108406656011711. The reversal of 108406656011700 is 7110656604801.

108406656011700 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 0 + 6 + 6 + 560 + 11 + 70 + 0 = 666.

108406656011700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26531236 + ... + 30343364.

It is an arithmetic number, because the mean of its divisors is an integer number (1656915478400).

Almost surely, 2^{108406656011700} is an apocalyptic number.

108406656011700 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 108406656011700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178946871667200).

108406656011700 is an abundant number, since it is smaller than the sum of its proper divisors (249487087322700).

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

108406656011700 is a wasteful number, since it uses less digits than its factorization.

108406656011700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813831 (or 3813821 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 108406656011700 in words is "one hundred eight trillion, four hundred six billion, six hundred fifty-six million, eleven thousand, seven hundred".