100151601 has 32 divisors (see below), whose sum is σ = 150323712. Its totient is φ = 58786560.

The previous prime is 100151599. The next prime is 100151651. The reversal of 100151601 is 106151001.

It is not a de Polignac number, because 100151601 - 2¹ = 100151599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100151651) 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 31 ways as a sum of consecutive naturals, for example, 231081 + ... + 231513.

It is an arithmetic number, because the mean of its divisors is an integer number (4697616).

Almost surely, 2^100151601 is an apocalyptic number.

100151601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100151601 is a deficient number, since it is larger than the sum of its proper divisors (50172111).

100151601 is a wasteful number, since it uses less digits than its factorization.

100151601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 100151601 is about 10007.5771793177. The cubic root of 100151601 is about 464.3933214339.

The spelling of 100151601 in words is "one hundred million, one hundred fifty-one thousand, six hundred one".