109719456 has 96 divisors (see below), whose sum is σ = 359106048. Its totient is φ = 28496640.

The previous prime is 109719437. The next prime is 109719461. The reversal of 109719456 is 654917901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30 + ... + 14813.

It is an arithmetic number, because the mean of its divisors is an integer number (3740688).

Almost surely, 2^109719456 is an apocalyptic number.

109719456 is a gapful number since it is divisible by the number (16) 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 109719456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179553024).

109719456 is an abundant number, since it is smaller than the sum of its proper divisors (249386592).

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

109719456 is a wasteful number, since it uses less digits than its factorization.

109719456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14874 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 109719456 is about 10474.7055328539. The cubic root of 109719456 is about 478.7343043526.

The spelling of 109719456 in words is "one hundred nine million, seven hundred nineteen thousand, four hundred fifty-six".