109835664390 has 256 divisors, whose sum is σ = 305977824000. Its totient is φ = 28013174784.

The previous prime is 109835664347. The next prime is 109835664397. The reversal of 109835664390 is 93466538901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109835664397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168201304 + ... + 168201956.

It is an arithmetic number, because the mean of its divisors is an integer number (1195225875).

Almost surely, 2^109835664390 is an apocalyptic number.

109835664390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109835664390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152988912000).

109835664390 is an abundant number, since it is smaller than the sum of its proper divisors (196142159610).

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

109835664390 is a wasteful number, since it uses less digits than its factorization.

109835664390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 109835664390 in words is "one hundred nine billion, eight hundred thirty-five million, six hundred sixty-four thousand, three hundred ninety".