109973829504 has 768 divisors, whose sum is σ = 390804986880. Its totient is φ = 26763264000.

The previous prime is 109973829463. The next prime is 109973829569. The reversal of 109973829504 is 405928379901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456322824 + ... + 456323064.

It is an arithmetic number, because the mean of its divisors is an integer number (508860660).

Almost surely, 2^109973829504 is an apocalyptic number.

109973829504 is a gapful number since it is divisible by the number (14) 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 109973829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195402493440).

109973829504 is an abundant number, since it is smaller than the sum of its proper divisors (280831157376).

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

109973829504 is a wasteful number, since it uses less digits than its factorization.

109973829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 109973829504 in words is "one hundred nine billion, nine hundred seventy-three million, eight hundred twenty-nine thousand, five hundred four".