106259940 has 144 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 27025920.

The previous prime is 106259927. The next prime is 106259941. The reversal of 106259940 is 49952601.

106259940 is a `hidden beast` number, since 1 + 0 + 62 + 599 + 4 + 0 = 666.

It is a super-2 number, since 2×106259940² = 22582349697607200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106259895 and 106259904.

It is not an unprimeable number, because it can be changed into a prime (106259941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764391 + ... + 764529.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 2^106259940 is an apocalyptic number.

106259940 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 106259940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

106259940 is an abundant number, since it is smaller than the sum of its proper divisors (231299100).

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

106259940 is a wasteful number, since it uses less digits than its factorization.

106259940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106259940 is about 10308.2462135904. The cubic root of 106259940 is about 473.6488880873.

The spelling of 106259940 in words is "one hundred six million, two hundred fifty-nine thousand, nine hundred forty".