107193840 has 320 divisors, whose sum is σ = 395974656. Its totient is φ = 23740416.

The previous prime is 107193833. The next prime is 107193871. The reversal of 107193840 is 48391701.

It is a super-2 number, since 2×107193840² = 22981038667891200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2280697 + ... + 2280743.

Almost surely, 2^107193840 is an apocalyptic number.

107193840 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 107193840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

107193840 is an abundant number, since it is smaller than the sum of its proper divisors (288780816).

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

107193840 is a wasteful number, since it uses less digits than its factorization.

107193840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 107193840 is about 10353.4458032097. The cubic root of 107193840 is about 475.0324483835.

The spelling of 107193840 in words is "one hundred seven million, one hundred ninety-three thousand, eight hundred forty".