106070016 has 128 divisors (see below), whose sum is σ = 308276640. Its totient is φ = 32243712.

The previous prime is 106070011. The next prime is 106070039. The reversal of 106070016 is 610070601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106070016² = 22501696588480512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106069974 and 106070001.

It is not an unprimeable number, because it can be changed into a prime (106070011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277911 + ... + 1277993.

Almost surely, 2^106070016 is an apocalyptic number.

106070016 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 106070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154138320).

106070016 is an abundant number, since it is smaller than the sum of its proper divisors (202206624).

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

106070016 is an frugal number, since it uses more digits than its factorization.

106070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106070016 is about 10299.0298572244. The cubic root of 106070016 is about 473.3665272408.

The spelling of 106070016 in words is "one hundred six million, seventy thousand, sixteen".