107100340 has 96 divisors (see below), whose sum is σ = 255830400. Its totient is φ = 37416960.

The previous prime is 107100313. The next prime is 107100341. The reversal of 107100340 is 43001701.

It is a super-2 number, since 2×107100340² = 22940965656231200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107100341) 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, 381000 + ... + 381280.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 2^107100340 is an apocalyptic number.

107100340 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 107100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127915200).

107100340 is an abundant number, since it is smaller than the sum of its proper divisors (148730060).

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

107100340 is a wasteful number, since it uses less digits than its factorization.

107100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 107100340 is about 10348.9294132292. The cubic root of 107100340 is about 474.8942922667.

The spelling of 107100340 in words is "one hundred seven million, one hundred thousand, three hundred forty".