100162521 has 32 divisors (see below), whose sum is σ = 159511680. Its totient is φ = 61890048.

The previous prime is 100162511. The next prime is 100162529. The reversal of 100162521 is 125261001.

It is not a de Polignac number, because 100162521 - 2⁹ = 100162009 is a prime.

It is a super-2 number, since 2×100162521² = 20065061226150882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100162494 and 100162503.

It is not an unprimeable number, because it can be changed into a prime (100162529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29125 + ... + 32381.

It is an arithmetic number, because the mean of its divisors is an integer number (4984740).

Almost surely, 2^100162521 is an apocalyptic number.

It is an amenable number.

100162521 is a deficient number, since it is larger than the sum of its proper divisors (59349159).

100162521 is a wasteful number, since it uses less digits than its factorization.

100162521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100162521 is about 10008.1227510458. The cubic root of 100162521 is about 464.4101991497.

The spelling of 100162521 in words is "one hundred million, one hundred sixty-two thousand, five hundred twenty-one".