106388156160 has 1728 divisors, whose sum is σ = 474979814400. Its totient is φ = 22335160320.

The previous prime is 106388156143. The next prime is 106388156209. The reversal of 106388156160 is 61651883601.

106388156160 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 8 + 81 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×106388156160² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1032894669 + ... + 1032894771.

Almost surely, 2^106388156160 is an apocalyptic number.

106388156160 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 106388156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237489907200).

106388156160 is an abundant number, since it is smaller than the sum of its proper divisors (368591658240).

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

106388156160 is a wasteful number, since it uses less digits than its factorization.

106388156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 106388156160 in words is "one hundred six billion, three hundred eighty-eight million, one hundred fifty-six thousand, one hundred sixty".