101305414 has 16 divisors (see below), whose sum is σ = 183882528. Its totient is φ = 40862592.

The previous prime is 101305411. The next prime is 101305417. The reversal of 101305414 is 414503101.

It is an interprime number because it is at equal distance from previous prime (101305411) and next prime (101305417).

It is a super-2 number, since 2×101305414² = 20525573811422792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101305391 and 101305400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305411) 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 7 ways as a sum of consecutive naturals, for example, 212589 + ... + 213064.

It is an arithmetic number, because the mean of its divisors is an integer number (11492658).

Almost surely, 2^101305414 is an apocalyptic number.

101305414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101305414 is a deficient number, since it is larger than the sum of its proper divisors (82577114).

101305414 is a wasteful number, since it uses less digits than its factorization.

101305414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425679.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 101305414 is about 10065.0590658972. The cubic root of 101305414 is about 466.1698896114.

Adding to 101305414 its reverse (414503101), we get a palindrome (515808515).

It can be divided in two parts, 1013054 and 14, that multiplied together give a square (14182756 = 3766²).

The spelling of 101305414 in words is "one hundred one million, three hundred five thousand, four hundred fourteen".