101755040 has 24 divisors (see below), whose sum is σ = 240396660. Its totient is φ = 40701952.

The previous prime is 101755019. The next prime is 101755063. The reversal of 101755040 is 40557101.

It can be written as a sum of positive squares in 2 ways, for example, as 101042704 + 712336 = 10052^2 + 844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101754997 and 101755015.

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, 317825 + ... + 318144.

Almost surely, 2^101755040 is an apocalyptic number.

101755040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101755040 is an abundant number, since it is smaller than the sum of its proper divisors (138641620).

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

101755040 is an equidigital number, since it uses as much as digits as its factorization.

101755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635984 (or 635976 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 101755040 is about 10087.3703213474. The cubic root of 101755040 is about 466.8585424123.

The spelling of 101755040 in words is "one hundred one million, seven hundred fifty-five thousand, forty".