106107408 has 140 divisors (see below), whose sum is σ = 336661488. Its totient is φ = 32114880.

The previous prime is 106107403. The next prime is 106107409. The reversal of 106107408 is 804701601.

It is a happy number.

106107408 is a `hidden beast` number, since 1 + 0 + 610 + 7 + 40 + 8 = 666.

It is a super-2 number, since 2×106107408² = 22517564064956928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106107401) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 127891 + ... + 128717.

Almost surely, 2^106107408 is an apocalyptic number.

106107408 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 106107408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168330744).

106107408 is an abundant number, since it is smaller than the sum of its proper divisors (230554080).

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

106107408 is an equidigital number, since it uses as much as digits as its factorization.

106107408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106107408 is about 10300.8450138811. The cubic root of 106107408 is about 473.4221447230.

The spelling of 106107408 in words is "one hundred six million, one hundred seven thousand, four hundred eight".