107721840 has 80 divisors (see below), whose sum is σ = 335121408. Its totient is φ = 28624128.

The previous prime is 107721827. The next prime is 107721851. The reversal of 107721840 is 48127701.

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

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 = 107721798 and 107721807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87469 + ... + 88691.

Almost surely, 2^107721840 is an apocalyptic number.

107721840 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 107721840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167560704).

107721840 is an abundant number, since it is smaller than the sum of its proper divisors (227399568).

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

107721840 is a wasteful number, since it uses less digits than its factorization.

107721840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 107721840 is about 10378.9132379069. The cubic root of 107721840 is about 475.8111201274.

The spelling of 107721840 in words is "one hundred seven million, seven hundred twenty-one thousand, eight hundred forty".