106958742 has 64 divisors (see below), whose sum is σ = 245127168. Its totient is φ = 30816000.

The previous prime is 106958741. The next prime is 106958779. The reversal of 106958742 is 247859601.

It is a super-2 number, since 2×106958742² = 22880344980445128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106958694 and 106958703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106958741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124378 + ... + 125234.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^106958742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106958742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

106958742 is an abundant number, since it is smaller than the sum of its proper divisors (138168426).

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

106958742 is a wasteful number, since it uses less digits than its factorization.

106958742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 106958742 is about 10342.0859598052. The cubic root of 106958742 is about 474.6849131045.

The spelling of 106958742 in words is "one hundred six million, nine hundred fifty-eight thousand, seven hundred forty-two".