100829997 has 12 divisors (see below), whose sum is σ = 148112640. Its totient is φ = 66080328.

The previous prime is 100829987. The next prime is 100830047. The reversal of 100829997 is 799928001.

It is not a de Polignac number, because 100829997 - 2⁶ = 100829933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100829987) 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 11 ways as a sum of consecutive naturals, for example, 94413 + ... + 95474.

It is an arithmetic number, because the mean of its divisors is an integer number (12342720).

Almost surely, 2^100829997 is an apocalyptic number.

It is an amenable number.

100829997 is a deficient number, since it is larger than the sum of its proper divisors (47282643).

100829997 is a wasteful number, since it uses less digits than its factorization.

100829997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189952 (or 189949 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 100829997 is about 10041.4140936424. The cubic root of 100829997 is about 465.4395150701.

It can be divided in two parts, 1008 and 29997, that multiplied together give a triangular number (30236976 = T₇₇₇₆).

The spelling of 100829997 in words is "one hundred million, eight hundred twenty-nine thousand, nine hundred ninety-seven".