101005757830 has 16 divisors (see below), whose sum is σ = 181878787440. Its totient is φ = 40387097952.

The previous prime is 101005757791. The next prime is 101005757833. The reversal of 101005757830 is 38757500101.

It is a super-2 number, since 2×101005757830² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101005757830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005757833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872729 + ... + 1925908.

It is an arithmetic number, because the mean of its divisors is an integer number (11367424215).

Almost surely, 2^101005757830 is an apocalyptic number.

101005757830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101005757830 is a deficient number, since it is larger than the sum of its proper divisors (80873029610).

101005757830 is a wasteful number, since it uses less digits than its factorization.

101005757830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801303.

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 101005757830 in words is "one hundred one billion, five million, seven hundred fifty-seven thousand, eight hundred thirty".