109757190240 has 672 divisors, whose sum is σ = 406047751200. Its totient is φ = 27998576640.

The previous prime is 109757190217. The next prime is 109757190289. The reversal of 109757190240 is 42091757901.

It is a super-3 number, since 3×109757190240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 282151966 + ... + 282152354.

It is an arithmetic number, because the mean of its divisors is an integer number (604237725).

Almost surely, 2^109757190240 is an apocalyptic number.

109757190240 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 109757190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203023875600).

109757190240 is an abundant number, since it is smaller than the sum of its proper divisors (296290560960).

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

109757190240 is an equidigital number, since it uses as much as digits as its factorization.

109757190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

It can be divided in two parts, 1097571 and 90240, that added together give a palindrome (1187811).

The spelling of 109757190240 in words is "one hundred nine billion, seven hundred fifty-seven million, one hundred ninety thousand, two hundred forty".