101429360 has 40 divisors (see below), whose sum is σ = 236242320. Its totient is φ = 40499712.

The previous prime is 101429359. The next prime is 101429399. The reversal of 101429360 is 63924101.

It is a tau number, because it is divible by the number of its divisors (40).

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, 89276 + ... + 90404.

It is an arithmetic number, because the mean of its divisors is an integer number (5906058).

Almost surely, 2^101429360 is an apocalyptic number.

101429360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101429360 is an abundant number, since it is smaller than the sum of its proper divisors (134812960).

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

101429360 is a wasteful number, since it uses less digits than its factorization.

101429360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 101429360 is about 10071.2144252816. The cubic root of 101429360 is about 466.3599299476.

The spelling of 101429360 in words is "one hundred one million, four hundred twenty-nine thousand, three hundred sixty".