109125685112976 has 405 divisors, whose sum is σ = 371448065151891. Its totient is φ = 29817652943232.

The previous prime is 109125685112831. The next prime is 109125685113013. The reversal of 109125685112976 is 679211586521901.

It is a happy number.

The square root of 109125685112976 is 10446324.

It is a perfect power (a square), and thus also a powerful number.

109125685112976 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 2 + 568 + 51 + 12 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20182295265 + ... + 20182300671.

Almost surely, 2^{109125685112976} is an apocalyptic number.

109125685112976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109125685112976 is the 10446324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109125685112976

109125685112976 is an abundant number, since it is smaller than the sum of its proper divisors (262322380038915).

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

109125685112976 is an frugal number, since it uses more digits than its factorization.

109125685112976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 109125685112976 in words is "one hundred nine trillion, one hundred twenty-five billion, six hundred eighty-five million, one hundred twelve thousand, nine hundred seventy-six".