106070688 has 96 divisors (see below), whose sum is σ = 311169600. Its totient is φ = 35152128.

The previous prime is 106070683. The next prime is 106070717. The reversal of 106070688 is 886070601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106070688² = 22501981705586688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106070683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252943 + ... + 253361.

It is an arithmetic number, because the mean of its divisors is an integer number (3241350).

Almost surely, 2^106070688 is an apocalyptic number.

106070688 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 106070688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155584800).

106070688 is an abundant number, since it is smaller than the sum of its proper divisors (205098912).

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

106070688 is a wasteful number, since it uses less digits than its factorization.

106070688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 106070688 is about 10299.0624816048. The cubic root of 106070688 is about 473.3675269001.

The spelling of 106070688 in words is "one hundred six million, seventy thousand, six hundred eighty-eight".