100160010 has 64 divisors (see below), whose sum is σ = 268041600. Its totient is φ = 26614656.

The previous prime is 100160003. The next prime is 100160017. The reversal of 100160010 is 10061001.

It is an interprime number because it is at equal distance from previous prime (100160003) and next prime (100160017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100159974 and 100160001.

It is not an unprimeable number, because it can be changed into a prime (100160017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109977 + ... + 110883.

It is an arithmetic number, because the mean of its divisors is an integer number (4188150).

Almost surely, 2^100160010 is an apocalyptic number.

100160010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100160010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134020800).

100160010 is an abundant number, since it is smaller than the sum of its proper divisors (167881590).

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

100160010 is a wasteful number, since it uses less digits than its factorization.

100160010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100160010 is about 10007.9973021579. The cubic root of 100160010 is about 464.4063183110.

Subtracting from 100160010 its reverse (10061001), we obtain a palindrome (90099009).

The spelling of 100160010 in words is "one hundred million, one hundred sixty thousand, ten".