106309890 has 48 divisors (see below), whose sum is σ = 277992000. Its totient is φ = 28186656.

The previous prime is 106309871. The next prime is 106309897. The reversal of 106309890 is 98903601.

106309890 is a `hidden beast` number, since 10 + 630 + 9 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×106309890² = 22603585423624200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106309897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12811 + ... + 19409.

It is an arithmetic number, because the mean of its divisors is an integer number (5791500).

Almost surely, 2^106309890 is an apocalyptic number.

106309890 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 106309890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138996000).

106309890 is an abundant number, since it is smaller than the sum of its proper divisors (171682110).

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

106309890 is a wasteful number, since it uses less digits than its factorization.

106309890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106309890 is about 10310.6687464975. The cubic root of 106309890 is about 473.7230930850.

The spelling of 106309890 in words is "one hundred six million, three hundred nine thousand, eight hundred ninety".