106884288 has 168 divisors, whose sum is σ = 357936800. Its totient is φ = 30481920.

The previous prime is 106884277. The next prime is 106884307. The reversal of 106884288 is 882488601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106884288² = 22848502042533888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197298 + ... + 197838.

Almost surely, 2^106884288 is an apocalyptic number.

106884288 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 106884288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178968400).

106884288 is an abundant number, since it is smaller than the sum of its proper divisors (251052512).

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

106884288 is an equidigital number, since it uses as much as digits as its factorization.

106884288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 106884288 is about 10338.4857692024. The cubic root of 106884288 is about 474.5747447861.

The spelling of 106884288 in words is "one hundred six million, eight hundred eighty-four thousand, two hundred eighty-eight".