100407168 has 128 divisors (see below), whose sum is σ = 313956000. Its totient is φ = 31481856.

The previous prime is 100407161. The next prime is 100407169. The reversal of 100407168 is 861704001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100407161) 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 15 ways as a sum of consecutive naturals, for example, 57898 + ... + 59606.

Almost surely, 2^100407168 is an apocalyptic number.

100407168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156978000).

100407168 is an abundant number, since it is smaller than the sum of its proper divisors (213548832).

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

100407168 is a wasteful number, since it uses less digits than its factorization.

100407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100407168 is about 10020.3377188596. The cubic root of 100407168 is about 464.7879990937.

The spelling of 100407168 in words is "one hundred million, four hundred seven thousand, one hundred sixty-eight".