101766040 has 32 divisors (see below), whose sum is σ = 230733360. Its totient is φ = 40393600.

The previous prime is 101766031. The next prime is 101766047. The reversal of 101766040 is 40667101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101765996 and 101766014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101766047) by changing a digit.

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, 4471 + ... + 14950.

Almost surely, 2^101766040 is an apocalyptic number.

101766040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101766040 is an abundant number, since it is smaller than the sum of its proper divisors (128967320).

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

101766040 is a wasteful number, since it uses less digits than its factorization.

101766040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19563 (or 19559 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 101766040 is about 10087.9155428661. The cubic root of 101766040 is about 466.8753647041.

The spelling of 101766040 in words is "one hundred one million, seven hundred sixty-six thousand, forty".