101300661 has 48 divisors (see below), whose sum is σ = 184025088. Its totient is φ = 52164000.

The previous prime is 101300659. The next prime is 101300663. The reversal of 101300661 is 166003101.

101300661 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 0 + 661 = 666.

It is an interprime number because it is at equal distance from previous prime (101300659) and next prime (101300663).

It is not a de Polignac number, because 101300661 - 2¹ = 101300659 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87436 + ... + 88586.

It is an arithmetic number, because the mean of its divisors is an integer number (3833856).

Almost surely, 2^101300661 is an apocalyptic number.

101300661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101300661 is a deficient number, since it is larger than the sum of its proper divisors (82724427).

101300661 is a wasteful number, since it uses less digits than its factorization.

101300661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101300661 is about 10064.8229492624. The cubic root of 101300661 is about 466.1625989838.

Adding to 101300661 its reverse (166003101), we get a palindrome (267303762).

The spelling of 101300661 in words is "one hundred one million, three hundred thousand, six hundred sixty-one".