101006946 has 16 divisors (see below), whose sum is σ = 224460000. Its totient is φ = 33668964.

The previous prime is 101006909. The next prime is 101006977. The reversal of 101006946 is 649600101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935196 + ... + 935303.

It is an arithmetic number, because the mean of its divisors is an integer number (14028750).

Almost surely, 2^101006946 is an apocalyptic number.

101006946 is an abundant number, since it is smaller than the sum of its proper divisors (123453054).

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

101006946 is a wasteful number, since it uses less digits than its factorization.

101006946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870510 (or 1870504 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101006946 is about 10050.2211915957. The cubic root of 101006946 is about 465.7116263073.

The spelling of 101006946 in words is "one hundred one million, six thousand, nine hundred forty-six".