109724904240 has 960 divisors, whose sum is σ = 437364864000. Its totient is φ = 22678548480.

The previous prime is 109724904239. The next prime is 109724904241. The reversal of 109724904240 is 42409427901.

It is an interprime number because it is at equal distance from previous prime (109724904239) and next prime (109724904241).

It is a super-2 number, since 2×109724904240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 109724904192 and 109724904201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109724904241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1503080844 + ... + 1503080916.

It is an arithmetic number, because the mean of its divisors is an integer number (455588400).

Almost surely, 2^109724904240 is an apocalyptic number.

109724904240 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 109724904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218682432000).

109724904240 is an abundant number, since it is smaller than the sum of its proper divisors (327639959760).

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

109724904240 is a wasteful number, since it uses less digits than its factorization.

109724904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 109724904240 in words is "one hundred nine billion, seven hundred twenty-four million, nine hundred four thousand, two hundred forty".