109902968640 has 224 divisors, whose sum is σ = 387930908160. Its totient is φ = 29291010048.

The previous prime is 109902968633. The next prime is 109902968711. The reversal of 109902968640 is 46869209901.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29486457 + ... + 29490183.

Almost surely, 2^109902968640 is an apocalyptic number.

109902968640 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 109902968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193965454080).

109902968640 is an abundant number, since it is smaller than the sum of its proper divisors (278027939520).

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

109902968640 is a wasteful number, since it uses less digits than its factorization.

109902968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 109902968640 in words is "one hundred nine billion, nine hundred two million, nine hundred sixty-eight thousand, six hundred forty".