101416240 has 40 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 40490496.

The previous prime is 101416201. The next prime is 101416241. The reversal of 101416240 is 42614101.

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

It is not an unprimeable number, because it can be changed into a prime (101416241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63937 + ... + 65503.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2^101416240 is an apocalyptic number.

101416240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101416240 is an abundant number, since it is smaller than the sum of its proper divisors (134818640).

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

101416240 is a wasteful number, since it uses less digits than its factorization.

101416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101416240 is about 10070.5630428492. The cubic root of 101416240 is about 466.3398210228.

The spelling of 101416240 in words is "one hundred one million, four hundred sixteen thousand, two hundred forty".