100985406 has 16 divisors (see below), whose sum is σ = 213851664. Its totient is φ = 31681664.

The previous prime is 100985377. The next prime is 100985407. The reversal of 100985406 is 604589001.

It is a super-3 number, since 3×100985406³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100985407) 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 7 ways as a sum of consecutive naturals, for example, 494925 + ... + 495128.

It is an arithmetic number, because the mean of its divisors is an integer number (13365729).

Almost surely, 2^100985406 is an apocalyptic number.

100985406 is an abundant number, since it is smaller than the sum of its proper divisors (112866258).

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

100985406 is a wasteful number, since it uses less digits than its factorization.

100985406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990075.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 100985406 is about 10049.1495162526. The cubic root of 100985406 is about 465.6785192060.

The spelling of 100985406 in words is "one hundred million, nine hundred eighty-five thousand, four hundred six".