106956240 has 80 divisors (see below), whose sum is σ = 332562048. Its totient is φ = 28435968.

The previous prime is 106956221. The next prime is 106956247. The reversal of 106956240 is 42659601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106956240² = 22879274549875200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106956247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146757 + ... + 147483.

Almost surely, 2^106956240 is an apocalyptic number.

106956240 is a gapful number since it is divisible by the number (10) 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 106956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281024).

106956240 is an abundant number, since it is smaller than the sum of its proper divisors (225605808).

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

106956240 is a wasteful number, since it uses less digits than its factorization.

106956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 106956240 is about 10341.9649970400. The cubic root of 106956240 is about 474.6812117680.

The spelling of 106956240 in words is "one hundred six million, nine hundred fifty-six thousand, two hundred forty".