75140100 has 108 divisors (see below), whose sum is σ = 269191104. Its totient is φ = 17173440.

The previous prime is 75140089. The next prime is 75140173. The reversal of 75140100 is 104157.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337 + ... + 12263.

Almost surely, 2^75140100 is an apocalyptic number.

75140100 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 75140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134595552).

75140100 is an abundant number, since it is smaller than the sum of its proper divisors (194051004).

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

75140100 is a wasteful number, since it uses less digits than its factorization.

75140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11944 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 75140100 is about 8668.3389412274. The cubic root of 75140100 is about 421.9787580182.

Adding to 75140100 its reverse (104157), we get a palindrome (75244257).

The spelling of 75140100 in words is "seventy-five million, one hundred forty thousand, one hundred".