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102164898 = 231141163
BaseRepresentation
bin1100001011011…
…10100110100010
321010020111220010
412011232212202
5202123234043
614045425350
72350246563
oct605564642
9233214803
10102164898
1152740000
122a26b256
1318221004
14d7d616a
158e81133
hex616e9a2

102164898 has 40 divisors (see below), whose sum is σ = 224954640. Its totient is φ = 30932440.

The previous prime is 102164893. The next prime is 102164903. The reversal of 102164898 is 898461201.

It is an interprime number because it is at equal distance from previous prime (102164893) and next prime (102164903).

It is not an unprimeable number, because it can be changed into a prime (102164891) 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 19 ways as a sum of consecutive naturals, for example, 87265 + ... + 88427.

It is an arithmetic number, because the mean of its divisors is an integer number (5623866).

Almost surely, 2102164898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102164898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112477320).

102164898 is an abundant number, since it is smaller than the sum of its proper divisors (122789742).

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

102164898 is an equidigital number, since it uses as much as digits as its factorization.

102164898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 102164898 is about 10107.6653090612. The cubic root of 102164898 is about 467.4845208254.

The spelling of 102164898 in words is "one hundred two million, one hundred sixty-four thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1163 1331 2326 2662 3489 3993 6978 7986 12793 14641 25586 29282 38379 43923 76758 87846 140723 281446 422169 844338 1547953 3095906 4643859 9287718 17027483 34054966 51082449 102164898