101066994 has 32 divisors (see below), whose sum is σ = 256679040. Its totient is φ = 28876176.

The previous prime is 101066993. The next prime is 101067007. The reversal of 101066994 is 499660101.

It is a super-3 number, since 3×101066994³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101066993) 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, 133309 + ... + 134064.

It is an arithmetic number, because the mean of its divisors is an integer number (8021220).

Almost surely, 2^101066994 is an apocalyptic number.

101066994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101066994 is an abundant number, since it is smaller than the sum of its proper divisors (155612046).

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

101066994 is a wasteful number, since it uses less digits than its factorization.

101066994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267391 (or 267385 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101066994 is about 10053.2081446671. The cubic root of 101066994 is about 465.8038955785.

The spelling of 101066994 in words is "one hundred one million, sixty-six thousand, nine hundred ninety-four".