106954720 has 48 divisors (see below), whose sum is σ = 253462608. Its totient is φ = 42649600.

The previous prime is 106954699. The next prime is 106954723. The reversal of 106954720 is 27459601.

It is a super-2 number, since 2×106954720² = 22878624260556800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106954723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63327 + ... + 64993.

It is an arithmetic number, because the mean of its divisors is an integer number (5280471).

Almost surely, 2^106954720 is an apocalyptic number.

106954720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106954720 is an abundant number, since it is smaller than the sum of its proper divisors (146507888).

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

106954720 is a wasteful number, since it uses less digits than its factorization.

106954720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 106954720 is about 10341.8915097771. The cubic root of 106954720 is about 474.6789631260.

The spelling of 106954720 in words is "one hundred six million, nine hundred fifty-four thousand, seven hundred twenty".