106507008 has 144 divisors (see below), whose sum is σ = 331945600. Its totient is φ = 33592320.

The previous prime is 106506973. The next prime is 106507039. The reversal of 106507008 is 800705601.

106507008 is a `hidden beast` number, since 1 + 0 + 650 + 7 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106507008² = 22687485506224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130923 + ... + 131733.

Almost surely, 2^106507008 is an apocalyptic number.

106507008 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 106507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165972800).

106507008 is an abundant number, since it is smaller than the sum of its proper divisors (225438592).

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

106507008 is an equidigital number, since it uses as much as digits as its factorization.

106507008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106507008 is about 10320.2232533991. The cubic root of 106507008 is about 474.0157020916.

The spelling of 106507008 in words is "one hundred six million, five hundred seven thousand, eight".