106188640 has 96 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 40435200.

The previous prime is 106188583. The next prime is 106188653. The reversal of 106188640 is 46881601.

It is a super-2 number, since 2×106188640² = 22552054530099200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106188596 and 106188605.

It is a congruent number.

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, 391705 + ... + 391975.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 2^106188640 is an apocalyptic number.

106188640 is a gapful number since it is divisible by the number (10) 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 106188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

106188640 is an abundant number, since it is smaller than the sum of its proper divisors (157020320).

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

106188640 is a wasteful number, since it uses less digits than its factorization.

106188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 106188640 is about 10304.7872370079. The cubic root of 106188640 is about 473.5429255393.

The spelling of 106188640 in words is "one hundred six million, one hundred eighty-eight thousand, six hundred forty".