101006750268 has 36 divisors (see below), whose sum is σ = 255450653640. Its totient is φ = 33652033056.

The previous prime is 101006750267. The next prime is 101006750293. The reversal of 101006750268 is 862057600101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006750267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630598 + ... + 774381.

It is an arithmetic number, because the mean of its divisors is an integer number (7095851490).

Almost surely, 2^101006750268 is an apocalyptic number.

101006750268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101006750268 is an abundant number, since it is smaller than the sum of its proper divisors (154443903372).

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

101006750268 is a wasteful number, since it uses less digits than its factorization.

101006750268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406986 (or 1406981 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 101006750268 in words is "one hundred one billion, six million, seven hundred fifty thousand, two hundred sixty-eight".