100211940 has 72 divisors (see below), whose sum is σ = 321867000. Its totient is φ = 25150464.

The previous prime is 100211939. The next prime is 100211941. The reversal of 100211940 is 49112001.

It is an interprime number because it is at equal distance from previous prime (100211939) and next prime (100211941).

It can be written as a sum of positive squares in 4 ways, for example, as 11249316 + 88962624 = 3354^2 + 9432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100211941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13315 + ... + 19434.

It is an arithmetic number, because the mean of its divisors is an integer number (4470375).

Almost surely, 2^100211940 is an apocalyptic number.

100211940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211940 is an abundant number, since it is smaller than the sum of its proper divisors (221655060).

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

100211940 is a wasteful number, since it uses less digits than its factorization.

100211940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32781 (or 32776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 100211940 is about 10010.5913911217. The cubic root of 100211940 is about 464.4865647533.

Adding to 100211940 its reverse (49112001), we get a palindrome (149323941).

The spelling of 100211940 in words is "one hundred million, two hundred eleven thousand, nine hundred forty".