106714944 has 252 divisors, whose sum is σ = 376428000. Its totient is φ = 28740096.

The previous prime is 106714943. The next prime is 106714997. The reversal of 106714944 is 449417601.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×106714944² = 22776158545846272, 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 = 106714899 and 106714908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106714943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536157 + ... + 536355.

Almost surely, 2^106714944 is an apocalyptic number.

106714944 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 106714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188214000).

106714944 is an abundant number, since it is smaller than the sum of its proper divisors (269713056).

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

106714944 is a wasteful number, since it uses less digits than its factorization.

106714944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106714944 is about 10330.2925418402. The cubic root of 106714944 is about 474.3239786919.

The spelling of 106714944 in words is "one hundred six million, seven hundred fourteen thousand, nine hundred forty-four".