101413760 has 64 divisors (see below), whose sum is σ = 277089120. Its totient is φ = 34768896.

The previous prime is 101413759. The next prime is 101413777. The reversal of 101413760 is 67314101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 6839 + ... + 15798.

Almost surely, 2^101413760 is an apocalyptic number.

101413760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101413760 is an abundant number, since it is smaller than the sum of its proper divisors (175675360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101413760 is an equidigital number, since it uses as much as digits as its factorization.

101413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22663 (or 22651 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 101413760 is about 10070.4399109473. The cubic root of 101413760 is about 466.3360197506.

Adding to 101413760 its reverse (67314101), we get a palindrome (168727861).

It can be divided in two parts, 10 and 1413760, that multiplied together give a square (14137600 = 3760²).

The spelling of 101413760 in words is "one hundred one million, four hundred thirteen thousand, seven hundred sixty".