106882470 has 64 divisors (see below), whose sum is σ = 285949440. Its totient is φ = 28409184.

The previous prime is 106882463. The next prime is 106882483. The reversal of 106882470 is 74288601.

106882470 is a `hidden beast` number, since 106 + 8 + 82 + 470 = 666.

It is a super-2 number, since 2×106882470² = 22847724786601800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135417 + ... + 136203.

It is an arithmetic number, because the mean of its divisors is an integer number (4467960).

Almost surely, 2^106882470 is an apocalyptic number.

106882470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106882470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142974720).

106882470 is an abundant number, since it is smaller than the sum of its proper divisors (179066970).

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

106882470 is a wasteful number, since it uses less digits than its factorization.

106882470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106882470 is about 10338.3978449274. The cubic root of 106882470 is about 474.5720540826.

It can be divided in two parts, 1068 and 82470, that added together give a palindrome (83538).

The spelling of 106882470 in words is "one hundred six million, eight hundred eighty-two thousand, four hundred seventy".