106770576 has 160 divisors (see below), whose sum is σ = 328550400. Its totient is φ = 29514240.

The previous prime is 106770553. The next prime is 106770607. The reversal of 106770576 is 675077601.

It is a super-2 number, since 2×106770576² = 22799911798743552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290745 + ... + 291111.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 2^106770576 is an apocalyptic number.

106770576 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 106770576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

106770576 is an abundant number, since it is smaller than the sum of its proper divisors (221779824).

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

106770576 is a wasteful number, since it uses less digits than its factorization.

106770576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 106770576 is about 10332.9848543390. The cubic root of 106770576 is about 474.4063882918.

The spelling of 106770576 in words is "one hundred six million, seven hundred seventy thousand, five hundred seventy-six".