107349240 has 128 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 26869248.

The previous prime is 107349239. The next prime is 107349241. The reversal of 107349240 is 42943701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107349239) and next prime (107349241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107349198 and 107349207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107349241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449041 + ... + 449279.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2^107349240 is an apocalyptic number.

107349240 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 107349240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

107349240 is an abundant number, since it is smaller than the sum of its proper divisors (234794760).

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

107349240 is a wasteful number, since it uses less digits than its factorization.

107349240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 107349240 is about 10360.9478330894. The cubic root of 107349240 is about 475.2618906681.

The spelling of 107349240 in words is "one hundred seven million, three hundred forty-nine thousand, two hundred forty".