106954344 has 320 divisors, whose sum is σ = 386812800. Its totient is φ = 26873856.

The previous prime is 106954339. The next prime is 106954369. The reversal of 106954344 is 443459601.

106954344 is a `hidden beast` number, since 10 + 69 + 543 + 44 = 666.

It is a super-2 number, since 2×106954344² = 22878463400940672, 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 = 106954299 and 106954308.

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, 1465092 + ... + 1465164.

It is an arithmetic number, because the mean of its divisors is an integer number (1208790).

Almost surely, 2^106954344 is an apocalyptic number.

106954344 is a gapful number since it is divisible by the number (14) 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 106954344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193406400).

106954344 is an abundant number, since it is smaller than the sum of its proper divisors (279858456).

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

106954344 is a wasteful number, since it uses less digits than its factorization.

106954344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106954344 is about 10341.8733312684. The cubic root of 106954344 is about 474.6784068797.

The spelling of 106954344 in words is "one hundred six million, nine hundred fifty-four thousand, three hundred forty-four".