100040160 has 96 divisors (see below), whose sum is σ = 343792512. Its totient is φ = 24250880.

The previous prime is 100040113. The next prime is 100040201. The reversal of 100040160 is 61040001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100040160² = 20016067225651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4194 + ... + 14753.

It is an arithmetic number, because the mean of its divisors is an integer number (3581172).

Almost surely, 2^100040160 is an apocalyptic number.

100040160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100040160 is an abundant number, since it is smaller than the sum of its proper divisors (243752352).

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

100040160 is a wasteful number, since it uses less digits than its factorization.

100040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18976 (or 18968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100040160 is about 10002.0077984373. The cubic root of 100040160 is about 464.2210104478.

Adding to 100040160 its reverse (61040001), we get a palindrome (161080161).

The spelling of 100040160 in words is "one hundred million, forty thousand, one hundred sixty".