742100100 has 216 divisors, whose sum is σ = 2630144160. Its totient is φ = 160634880.

The previous prime is 742100089. The next prime is 742100137. The reversal of 742100100 is 1001247.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 742100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277972 + ... + 280628.

Almost surely, 2^742100100 is an apocalyptic number.

742100100 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 742100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315072080).

742100100 is an abundant number, since it is smaller than the sum of its proper divisors (1888044060).

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

742100100 is a wasteful number, since it uses less digits than its factorization.

742100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 742100100 is about 27241.5142750912. The cubic root of 742100100 is about 905.3590142808.

Adding to 742100100 its reverse (1001247), we get a palindrome (743101347).

The spelling of 742100100 in words is "seven hundred forty-two million, one hundred thousand, one hundred".