106070846976 has 160 divisors (see below), whose sum is σ = 322464494880. Its totient is φ = 34401189888.

The previous prime is 106070846963. The next prime is 106070847007. The reversal of 106070846976 is 679648070601.

It is a happy number.

106070846976 is a `hidden beast` number, since 106 + 0 + 7 + 0 + 8 + 469 + 76 = 666.

It is a super-2 number, since 2×106070846976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407800 + ... + 615176.

It is an arithmetic number, because the mean of its divisors is an integer number (2015403093).

Almost surely, 2^106070846976 is an apocalyptic number.

106070846976 is a gapful number since it is divisible by the number (16) 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 106070846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161232247440).

106070846976 is an abundant number, since it is smaller than the sum of its proper divisors (216393647904).

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

106070846976 is an equidigital number, since it uses as much as digits as its factorization.

106070846976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207441 (or 207419 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 106070846976 in words is "one hundred six billion, seventy million, eight hundred forty-six thousand, nine hundred seventy-six".