100026072 has 24 divisors (see below), whose sum is σ = 270904140. Its totient is φ = 33342000.

The previous prime is 100026053. The next prime is 100026107. The reversal of 100026072 is 270620001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 694554 + ... + 694697.

Almost surely, 2^100026072 is an apocalyptic number.

100026072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100026072 is an abundant number, since it is smaller than the sum of its proper divisors (170878068).

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

100026072 is a wasteful number, since it uses less digits than its factorization.

100026072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389263 (or 1389256 counting only the distinct ones).

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

The square root of 100026072 is about 10001.3035150424. The cubic root of 100026072 is about 464.1992183575.

Adding to 100026072 its reverse (270620001), we get a palindrome (370646073).

It can be divided in two parts, 1000 and 26072, that added together give a palindrome (27072).

The spelling of 100026072 in words is "one hundred million, twenty-six thousand, seventy-two".