100420672 has 56 divisors (see below), whose sum is σ = 220736160. Its totient is φ = 44943360.

The previous prime is 100420669. The next prime is 100420679. The reversal of 100420672 is 276024001.

It is a super-2 number, since 2×100420672² = 20168622729863168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100420679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46104 + ... + 48232.

Almost surely, 2^100420672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110368080).

100420672 is an abundant number, since it is smaller than the sum of its proper divisors (120315488).

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

100420672 is a wasteful number, since it uses less digits than its factorization.

100420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 100420672 is about 10021.0115257892. The cubic root of 100420672 is about 464.8088349759.

Adding to 100420672 its reverse (276024001), we get a palindrome (376444673).

The spelling of 100420672 in words is "one hundred million, four hundred twenty thousand, six hundred seventy-two".