100946997 has 12 divisors (see below), whose sum is σ = 146313804. Its totient is φ = 67066560.

The previous prime is 100946953. The next prime is 100947013. The reversal of 100946997 is 799649001.

It can be written as a sum of positive squares in 2 ways, for example, as 97002801 + 3944196 = 9849^2 + 1986^2 .

It is not a de Polignac number, because 100946997 - 2⁶ = 100946933 is a prime.

It is a super-3 number, since 3×100946997³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100946917) 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, 16504 + ... + 21777.

It is an arithmetic number, because the mean of its divisors is an integer number (12192817).

Almost surely, 2^100946997 is an apocalyptic number.

It is an amenable number.

100946997 is a deficient number, since it is larger than the sum of its proper divisors (45366807).

100946997 is a wasteful number, since it uses less digits than its factorization.

100946997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38580 (or 38577 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 100946997 is about 10047.2382772581. The cubic root of 100946997 is about 465.6194726729.

The spelling of 100946997 in words is "one hundred million, nine hundred forty-six thousand, nine hundred ninety-seven".