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102992805 = 32510692141
BaseRepresentation
bin1100010001110…
…00101110100101
321011210120120100
412020320232211
5202331232210
614115254313
72360265366
oct610705645
9234716510
10102992805
1153156023
122a5aa399
1318450ab6
14d96db6d
1590965c0
hex6238ba5

102992805 has 24 divisors (see below), whose sum is σ = 178771320. Its totient is φ = 54852480.

The previous prime is 102992803. The next prime is 102992887. The reversal of 102992805 is 508299201.

It can be written as a sum of positive squares in 4 ways, for example, as 31877316 + 71115489 = 5646^2 + 8433^2 .

It is not a de Polignac number, because 102992805 - 21 = 102992803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102992805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102992803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47035 + ... + 49175.

It is an arithmetic number, because the mean of its divisors is an integer number (7448805).

Almost surely, 2102992805 is an apocalyptic number.

102992805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102992805 is a deficient number, since it is larger than the sum of its proper divisors (75778515).

102992805 is a wasteful number, since it uses less digits than its factorization.

102992805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 102992805 is about 10148.5370866938. The cubic root of 102992805 is about 468.7438996539.

The spelling of 102992805 in words is "one hundred two million, nine hundred ninety-two thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 1069 2141 3207 5345 6423 9621 10705 16035 19269 32115 48105 96345 2288729 6866187 11443645 20598561 34330935 102992805