106709240 has 32 divisors (see below), whose sum is σ = 261923760. Its totient is φ = 38803200.

The previous prime is 106709203. The next prime is 106709243. The reversal of 106709240 is 42907601.

106709240 = 2575² + 2576² + ... + 2590².

It is a super-2 number, since 2×106709240² = 22773723802755200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106709243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120821 + ... + 121700.

Almost surely, 2^106709240 is an apocalyptic number.

106709240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106709240 is an abundant number, since it is smaller than the sum of its proper divisors (155214520).

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

106709240 is a wasteful number, since it uses less digits than its factorization.

106709240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242543 (or 242539 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106709240 is about 10330.0164569085. The cubic root of 106709240 is about 474.3155275413.

The spelling of 106709240 in words is "one hundred six million, seven hundred nine thousand, two hundred forty".