100487153 has 16 divisors (see below), whose sum is σ = 117689040. Its totient is φ = 84934656.

The previous prime is 100487147. The next prime is 100487159. The reversal of 100487153 is 351784001.

It is an interprime number because it is at equal distance from previous prime (100487147) and next prime (100487159).

It can be written as a sum of positive squares in 8 ways, for example, as 11505664 + 88981489 = 3392^2 + 9433^2 .

It is a cyclic number.

It is not a de Polignac number, because 100487153 - 2⁴ = 100487137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100487159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2033 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (7355565).

Almost surely, 2^100487153 is an apocalyptic number.

100487153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100487153 is a deficient number, since it is larger than the sum of its proper divisors (17201887).

100487153 is a wasteful number, since it uses less digits than its factorization.

100487153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 100487153 is about 10024.3280572814. The cubic root of 100487153 is about 464.9113840460.

The spelling of 100487153 in words is "one hundred million, four hundred eighty-seven thousand, one hundred fifty-three".