75274021104100 has 288 divisors, whose sum is σ = 205247748581120. Its totient is φ = 23467387806720.

The previous prime is 75274021104097. The next prime is 75274021104143. The reversal of 75274021104100 is 140112047257.

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, 102674032 + ... + 103404568.

Almost surely, 2^{75274021104100} is an apocalyptic number.

75274021104100 is a gapful number since it is divisible by the number (70) 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 75274021104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102623874290560).

75274021104100 is an abundant number, since it is smaller than the sum of its proper divisors (129973727477020).

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

75274021104100 is a wasteful number, since it uses less digits than its factorization.

75274021104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730664 (or 730631 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The spelling of 75274021104100 in words is "seventy-five trillion, two hundred seventy-four billion, twenty-one million, one hundred four thousand, one hundred".