106851548160 has 792 divisors, whose sum is σ = 442670791680. Its totient is φ = 23744544768.

The previous prime is 106851548159. The next prime is 106851548173. The reversal of 106851548160 is 61845158601.

106851548160 is a `hidden beast` number, since 1 + 0 + 68 + 51 + 5 + 481 + 60 = 666.

It is a super-2 number, since 2×106851548160² (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 71 ways as a sum of consecutive naturals, for example, 83542401 + ... + 83543679.

Almost surely, 2^106851548160 is an apocalyptic number.

106851548160 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 106851548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221335395840).

106851548160 is an abundant number, since it is smaller than the sum of its proper divisors (335819243520).

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

106851548160 is a wasteful number, since it uses less digits than its factorization.

106851548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 106851548160 in words is "one hundred six billion, eight hundred fifty-one million, five hundred forty-eight thousand, one hundred sixty".