106870560048 has 120 divisors (see below), whose sum is σ = 343606388736. Its totient is φ = 30374524800.

The previous prime is 106870560031. The next prime is 106870560073. The reversal of 106870560048 is 840065078601.

It is a happy number.

106870560048 is a `hidden beast` number, since 1 + 0 + 6 + 87 + 0 + 560 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×106870560048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106870559985 and 106870560012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85018 + ... + 470073.

Almost surely, 2^106870560048 is an apocalyptic number.

106870560048 is a gapful number since it is divisible by the number (18) 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 106870560048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171803194368).

106870560048 is an abundant number, since it is smaller than the sum of its proper divisors (236735828688).

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

106870560048 is a wasteful number, since it uses less digits than its factorization.

106870560048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555303 (or 555294 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

It can be divided in two parts, 1068705 and 60048, that added together give a triangular number (1128753 = T₁₅₀₂).

The spelling of 106870560048 in words is "one hundred six billion, eight hundred seventy million, five hundred sixty thousand, forty-eight".