106857954 has 160 divisors (see below), whose sum is σ = 303595776. Its totient is φ = 27371520.

The previous prime is 106857943. The next prime is 106857983. The reversal of 106857954 is 459758601.

106857954 is a `hidden beast` number, since 10 + 68 + 579 + 5 + 4 = 666.

It is a super-2 number, since 2×106857954² = 22837244666132232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 443274 + ... + 443514.

Almost surely, 2^106857954 is an apocalyptic number.

106857954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106857954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151797888).

106857954 is an abundant number, since it is smaller than the sum of its proper divisors (196737822).

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

106857954 is a wasteful number, since it uses less digits than its factorization.

106857954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 106857954 is about 10337.2120999813. The cubic root of 106857954 is about 474.5357665662.

The spelling of 106857954 in words is "one hundred six million, eight hundred fifty-seven thousand, nine hundred fifty-four".