100402112 has 56 divisors (see below), whose sum is σ = 207001872. Its totient is φ = 48281600.

The previous prime is 100402111. The next prime is 100402117. The reversal of 100402112 is 211204001.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 100402093 and 100402102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100402111) 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, 217562 + ... + 218022.

It is an arithmetic number, because the mean of its divisors is an integer number (3696462).

Almost surely, 2^100402112 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 100402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103500936).

100402112 is an abundant number, since it is smaller than the sum of its proper divisors (106599760).

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

100402112 is an equidigital number, since it uses as much as digits as its factorization.

100402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 100402112 is about 10020.0854287775. The cubic root of 100402112 is about 464.7801975007.

Adding to 100402112 its reverse (211204001), we get a palindrome (311606113).

The spelling of 100402112 in words is "one hundred million, four hundred two thousand, one hundred twelve".