100142500 has 60 divisors (see below), whose sum is σ = 224562492. Its totient is φ = 39040000.

The previous prime is 100142491. The next prime is 100142503. The reversal of 100142500 is 5241001.

It can be written as a sum of positive squares in 10 ways, for example, as 78464164 + 21678336 = 8858^2 + 4656^2 .

It is not an unprimeable number, because it can be changed into a prime (100142503) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 102012 + ... + 102988.

Almost surely, 2^100142500 is an apocalyptic number.

100142500 is a gapful number since it is divisible by the number (10) 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 100142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112281246).

100142500 is an abundant number, since it is smaller than the sum of its proper divisors (124419992).

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

100142500 is an equidigital number, since it uses as much as digits as its factorization.

100142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 100142500 is about 10007.1224635257. The cubic root of 100142500 is about 464.3792541879.

Adding to 100142500 its reverse (5241001), we get a palindrome (105383501).

The spelling of 100142500 in words is "one hundred million, one hundred forty-two thousand, five hundred".