109770837120 has 1792 divisors, whose sum is σ = 497673504000. Its totient is φ = 22574039040.

The previous prime is 109770837109. The next prime is 109770837151. The reversal of 109770837120 is 21738077901.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1799521890 + ... + 1799521950.

Almost surely, 2^109770837120 is an apocalyptic number.

109770837120 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 109770837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248836752000).

109770837120 is an abundant number, since it is smaller than the sum of its proper divisors (387902666880).

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

109770837120 is an equidigital number, since it uses as much as digits as its factorization.

109770837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 109770837120 in words is "one hundred nine billion, seven hundred seventy million, eight hundred thirty-seven thousand, one hundred twenty".