100142730 has 128 divisors (see below), whose sum is σ = 285753600. Its totient is φ = 25194240.

The previous prime is 100142729. The next prime is 100142761. The reversal of 100142730 is 37241001.

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

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 63 ways as a sum of consecutive naturals, for example, 415410 + ... + 415650.

It is an arithmetic number, because the mean of its divisors is an integer number (2232450).

Almost surely, 2^100142730 is an apocalyptic number.

100142730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100142730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142876800).

100142730 is an abundant number, since it is smaller than the sum of its proper divisors (185610870).

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

100142730 is an equidigital number, since it uses as much as digits as its factorization.

100142730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100142730 is about 10007.1339553341. The cubic root of 100142730 is about 464.3796097051.

Adding to 100142730 its reverse (37241001), we get a palindrome (137383731).

The spelling of 100142730 in words is "one hundred million, one hundred forty-two thousand, seven hundred thirty".