100982401 has 9 divisors (see below), whose sum is σ = 109489449. Its totient is φ = 93093936.

The previous prime is 100982381. The next prime is 100982411. The reversal of 100982401 is 104289001.

It is a happy number.

The square root of 100982401 is 10049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 64016001 + 36966400 = 8001^2 + 6080^2 .

It is not a de Polignac number, because 100982401 - 2¹¹ = 100980353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100982411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130251 + ... + 131023.

Almost surely, 2^100982401 is an apocalyptic number.

100982401 is the 10049-th square number.

100982401 is the 5025-th centered octagonal number.

It is an amenable number.

100982401 is a deficient number, since it is larger than the sum of its proper divisors (8507048).

100982401 is an frugal number, since it uses more digits than its factorization.

100982401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The cubic root of 100982401 is about 465.6739001298.

Multiplying 100982401 by its sum of digits (25), we get a square (2524560025 = 50245²).

Multiplying 100982401 by its product of nonzero digits (576), we get a square (58165862976 = 241176²).

The spelling of 100982401 in words is "one hundred million, nine hundred eighty-two thousand, four hundred one".