101742480 has 200 divisors, whose sum is σ = 404027712. Its totient is φ = 23245056.

The previous prime is 101742401. The next prime is 101742499. The reversal of 101742480 is 84247101.

101742480 is a `hidden beast` number, since 10 + 174 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 44239 + ... + 46481.

Almost surely, 2^101742480 is an apocalyptic number.

101742480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202013856).

101742480 is an abundant number, since it is smaller than the sum of its proper divisors (302285232).

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

101742480 is a wasteful number, since it uses less digits than its factorization.

101742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 101742480 is about 10086.7477414675. The cubic root of 101742480 is about 466.8393329311.

Adding to 101742480 its reverse (84247101), we get a palindrome (185989581).

The spelling of 101742480 in words is "one hundred one million, seven hundred forty-two thousand, four hundred eighty".