101414480 has 20 divisors (see below), whose sum is σ = 235788852. Its totient is φ = 40565760.

The previous prime is 101414477. The next prime is 101414497. The reversal of 101414480 is 84414101.

It can be written as a sum of positive squares in 2 ways, for example, as 63616576 + 37797904 = 7976^2 + 6148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633761 + ... + 633920.

Almost surely, 2^101414480 is an apocalyptic number.

101414480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101414480 is an abundant number, since it is smaller than the sum of its proper divisors (134374372).

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

101414480 is a wasteful number, since it uses less digits than its factorization.

101414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267694 (or 1267688 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 101414480 is about 10070.4756590739. The cubic root of 101414480 is about 466.3371233521.

Adding to 101414480 its reverse (84414101), we get a palindrome (185828581).

The spelling of 101414480 in words is "one hundred one million, four hundred fourteen thousand, four hundred eighty".