101057781 has 16 divisors (see below), whose sum is σ = 147336768. Its totient is φ = 61104000.

The previous prime is 101057773. The next prime is 101057819. The reversal of 101057781 is 187750101.

It is a happy number.

It is not a de Polignac number, because 101057781 - 2³ = 101057773 is a prime.

It is a super-2 number, since 2×101057781² = 20425350201287922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101057701) 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 15 ways as a sum of consecutive naturals, for example, 11731 + ... + 18431.

It is an arithmetic number, because the mean of its divisors is an integer number (9208548).

Almost surely, 2^101057781 is an apocalyptic number.

101057781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101057781 is a deficient number, since it is larger than the sum of its proper divisors (46278987).

101057781 is a wasteful number, since it uses less digits than its factorization.

101057781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172.

The product of its (nonzero) digits is 1960, while the sum is 30.

The square root of 101057781 is about 10052.7499222849. The cubic root of 101057781 is about 465.7897413312.

The spelling of 101057781 in words is "one hundred one million, fifty-seven thousand, seven hundred eighty-one".