107754240 has 144 divisors (see below), whose sum is σ = 375572736. Its totient is φ = 26112000.

The previous prime is 107754223. The next prime is 107754253. The reversal of 107754240 is 42457701.

It is a super-2 number, since 2×107754240² = 23221952475955200, which contains 22 as substring.

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 = 107754198 and 107754207.

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, 40965 + ... + 43515.

It is an arithmetic number, because the mean of its divisors is an integer number (2608144).

Almost surely, 2^107754240 is an apocalyptic number.

107754240 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 107754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187786368).

107754240 is an abundant number, since it is smaller than the sum of its proper divisors (267818496).

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

107754240 is a wasteful number, since it uses less digits than its factorization.

107754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 107754240 is about 10380.4739776178. The cubic root of 107754240 is about 475.8588193218.

The spelling of 107754240 in words is "one hundred seven million, seven hundred fifty-four thousand, two hundred forty".