100401888 has 48 divisors (see below), whose sum is σ = 264070800. Its totient is φ = 33401856.

The previous prime is 100401883. The next prime is 100401911. The reversal of 100401888 is 888104001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100401888² = 20161078227929088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401883) 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, 95188 + ... + 96236.

It is an arithmetic number, because the mean of its divisors is an integer number (5501475).

Almost surely, 2^100401888 is an apocalyptic number.

It is an amenable number.

100401888 is an abundant number, since it is smaller than the sum of its proper divisors (163668912).

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

100401888 is a wasteful number, since it uses less digits than its factorization.

100401888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 100401888 is about 10020.0742512219. The cubic root of 100401888 is about 464.7798518545.

Adding to 100401888 its reverse (888104001), we get a palindrome (988505889).

The spelling of 100401888 in words is "one hundred million, four hundred one thousand, eight hundred eighty-eight".