109052697600 has 1320 divisors, whose sum is σ = 504187694208. Its totient is φ = 22627123200.

The previous prime is 109052697599. The next prime is 109052697619. The reversal of 109052697600 is 6796250901.

It is a happy number.

109052697600 is a `hidden beast` number, since 10 + 9 + 0 + 5 + 26 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159666859 + ... + 159667541.

Almost surely, 2^109052697600 is an apocalyptic number.

109052697600 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 109052697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252093847104).

109052697600 is an abundant number, since it is smaller than the sum of its proper divisors (395134996608).

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

109052697600 is a wasteful number, since it uses less digits than its factorization.

109052697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 109052697600 in words is "one hundred nine billion, fifty-two million, six hundred ninety-seven thousand, six hundred".